You go on Newgrounds, so you're destined to be alone for the rest of your measly life but either way, I'll help you to get pepper sprayed.
First of all, she sits next to you. That's a positive. If you're forced to be around her for more than 10 minutes in a day, then you've got a good chance of communication. Is there anything you know about her or do you sit there gawking at her boobs? I could have guessed that latter. You're probably ugly, overweight and amongst other things but don't let that put you off. If you're dedicated enough to a girl, you can get anyone, as long as they aren't snobby, up-their-own-arse women.
So, during lesson, make a comment about something; anything. It doesn't matter, but pay close attention to how she reacts to it. She won't immediately get wet and require your dick up her, but you'll start to make idle chit-chat. Expand on that and say something else related. For example, if you said "I LIKE CUCUMBER." and she agrees, say another vegetable she might like. Say what dish you like it with and if the mood strikes, ask what vegetable she most likes up her.
Congratulations, you made small-talk. Start having a laugh in lessons. Comment on things that are true but can be funny at the same time, for example. Laugh at the ugly, spotty, smelly kid in the corner. Oh, that's you? Nevermind, laugh at the second most biggest failure in the classroom. She should laugh too unless she's in love with that guy, or she might just be disgusted in how shallow you are. Oh well, it's worth a try.
Hey, once you've figured out small-talk, you're on your way to panty land. Congratulations.
I would like to apologise for the amount of insults I used in this post.