All great advice above...
First, know that this behavior is very normal for a Green Cheek Conure, and for most other species of Conure for that matter. The are extremely cuddly, clingy, "Velcro" birds, and once they bond with their "person", they will very quickly start testing their boundaries with you; Also, based on her age she's getting close to puberty, so she may have started some hormonal behavior already; even though it's a bit early, we have another post in this forum right now where an 8 month-old Sun Conure is showing extreme hormonal behavior already. In the case of the Sun Conure, the early and strong hormonal behavior is due to the fact that the owners put both a Nest-Box and a "Happy/Snuggle Hut" inside of the bird's cage, both of which create a small, dark, warm place for the bird to get inside of any time she wants to, which triggers extreme hormonal behavior (No parrot should ever have a Nest-Box inside of their cage unless they are laying eggs/have chicks; The "Happy Huts" are extremely unsafe in addition to triggering hormonal behavior, and should never be used due to the hundreds and hundreds of sudden, untimely deaths of pet parrots due to them)...
***So, if there are any boxes, "Huts", tents etc. inside of your Conure's cage or that she has access to anywhere, any small, dark place she can get into/underneath, even getting underneath furniture or inside a cardboard box that is close, the first step is going to be removing these and stopping her access to them.
***Usually though, with a young, juvenile Green Cheek, this behavior of nipping/biting "their person" is just a very cuddly, tame parrot testing their boundaries in their new home. This behavior usually doesn't start until the bird has settled-in to their new home and feels totally safe, secure, and comfortable there, and with their new "person"; this is why this behavior doesn't typically start right away when you first bring home a tame bird, as they don't start testing their boundaries until they feel comfortable enough with you and their home to try to get away with it; this is why it's happening now, after she's been with you in your home after 2 months.
You need to nip this behavior in the butt now, before she hits puberty, because at that point she may get very out of control. Uncontrollable hormones usually cause behavioral issues anyway, so if she's already nipping/biting your hands on a regular basis, once she hits puberty around a year or so old, she's going to really start causing issues...painful ones.
With Conures, since they are "Velcro Birds" and they absolutely love and crave attention and affection, the best method that I've found to stop biting pretty quickly is by using the "Shunning Method". In fact, they hate this so much and they are intelligent enough that they usually stop the biting on a regular basis within a couple of weeks, which is quick. Basically the "Shunning Method" is just that, you have to "Shun" her immediately every time she bites you, and you have to make sure that you stick to the program and do this every time she bites you, and everyone else in your home has to follow the program as well when she bites them; if not, it won't work, because she's still getting away with the biting.
***Here's what you do: First, choose a phrase that you will say immediately every time she bites you, something simple like "No Bites!" that she will remember and understand what it means, and that she will attach to her biting behavior. You need to say this phrase immediately upon her biting you, every time she bites you, and you need to say it firmly, like you mean it and you're not playing around with her, but you don't want to "yell" at her or "scold" her...So whenever she bites you or anyone else, you need to immediately say "No Bites!" firmly, and then immediately after saying the phrase,
you put her right down on the floor where you're standing/sitting, and then immediately turn your back to her. The reason you want to put her on the floor and not on her cage or on a stand is because they HATE being on the floor, as they are then the lowest thing in the room, and this eliminates any dominance that they feel like they have. After you put her right down on the floor, then you quickly turn your back to her, literally, and then you completely ignore her in every way for 5 minutes, no shorter, no longer. If you ignore or "shun" her for too short a time period it won't mean anything to her, and if you shun her for too long a time period she'll lose interest and forget that you're ignoring her.
During the 5 minutes that you're "shunning" her, she'll most likely start making noises/calling to you, which you must totally ignore. You do not want to face her, make eye contact with her, or acknowledge her existence in any way for a full 5 minutes. If she starts crawling up your leg, you don't say a word, don't look at her or make eye contact with her, but simply remove her and put her right back down on the floor and turn your back to her again. Same thing if she flies up onto your shoulder, you simply remove her and put her right back down on the floor. If she flies onto her cage, a stand, or a piece of furniture, keep your back turned to her and walk out of the room, ignoring her completely. Typically they are so confused and then frustrated by your "shunning" them, and their inability to get your attention that they just stand there on the floor, perplexed. After the 5 minute shunning-period is up, you go on like nothing ever happened, but often right after the first few times you do this, you'll have her step-up and she'll immediately bite you again...If and when this happens, you immediately do the same thing again right away...You say "No Bites!" firmly, put her right back on the floor, turn your back to her, and totally shun her for another 5 minutes...
Typically after you do this a handful of times they start to get it. They're extremely intelligent, and Conures specifically are so needy and feed off of attention and affection so regularly that this really upsets them and frustrates them, and it gets the point across very quickly. The key to the Shunning-Method working is consistency, with every person in the household sticking to the plan and doing it every single time she bites them.