I managed to talk to this girl who kept staring at me since October, but it was a bit brief, need some advice?

[Chris]

Very quickly:

1. A girl has been staring at me since October 2013
2. I always looked for any opportunity to talk to her but never found one.

Now to the point of today: Basically we had a test today and the lecturer gave us an hour to study, I spent some time helping this girl to remember some information, it's not much, but I am going to think of it positively and call it a starting point, at least it's just not the staring now and I can say we have spoken. But obviously I would like to continue talking to her but how do I continue, I will next see her on Monday and we have another test then, I think I will just ask her if she is ready for the exam. Some people said that if I am still feeling shy or nervous I should add her on Facebook and message her to build up my confidence, is that a good idea? Any advice would be great