Hey guys. After much fustration with myself, I gave up and am asking for advice. Need to get to the basic again.

So basically there is this girl I like at high school. We kinda know each other because we were in the same Chinese class last year. Now this year, I have absolutely no classes with her. The only time I get to sit down close to her is every Monday where our school calls this 'study period'. I will regularly see her there and will try to quickly grab a spot near her.

I am finding it difficult to find what to say to her. Like we kinda know each other but isn't awkward that me suddenly trying to talk to her all the time. I have the courage and confidence but what do I talk about without being awkward? All of her girlfriends are unknown to me so I can't just mix in with her during lunch. What should I do? Every week, I look forward to Monday just to get to have a chance to see her and maybe snip in a conversation or two with her. If I were to approach her(which is weird, like why is he suddenly talking to me?) what should I start with? I hope you guys understand my situation.

Ps. I have the courage and confidence, just don't know where and what to do. Can only see her once a week. No mutual friends. Have not been seeing much since last year. Etc etc.