Ladies, does she like me? What should I do?

Right well my original suggestion was to get her alone away from her friends and just talk to her about homework or something. Like just casually ask her if she's done the science homework (or a subject you're good at) and if she has talk about that or if she hasn't then offer help. It's either she thinks that you're staring at her so she stares back or that yes she has a crush on you. Seeing as you notice all this I definitely think you should talk to her because she's probably just as shy as you and will appreciate you making the first move... Good luck :)