Eleven is also known as Jane, and she was being experimented on. It is evident that coming from this; it will be hard to live a healthy life again, especially when you know that you used to have powers. Right now, Eleven is trying to live a healthier life, and it seems that with some of the episodes that were shown that she is succeeding.
Still, likely, things will not end with this. There is still another season that will take place, and her powers may come back. When this happens, it will be even harder for her to live a normal life. In Season two she was encouraged that she might be able to live a “normal” life.
This is a tough question considering what Eleven has experienced in the series. It will be hard to tell if she can ever be able to live like a normal girl. Keep in mind that she cannot speak at a proficient level; she has been subjected to a series of experiments.
Eleven has also been denied any form of human intimacy or connection aside Dr. Brenner. Eleven has been punished and put through unusual torture. This makes me think it is almost impossible for eleven ever to be able to live like a normal girl.