EDIT! UPDATE: Asked her out today and she said yes. For future reference and to make my wall of text even greater here's basically how the conversation went down.
Me: "Do you know why I first started talking to you?"
Her: "Because we sat next to each other?"
Me: "Because the first time you walked into class I thought to myself 'holy shit she's cute'".
Her: *laughed*
Me: "Anyway since then we've spent some time together and you've grown on me a bit and as such I'd like to take you on a proper date".
Her: *looked pretty damn happy*
Me: "And you should totally say yes because at worst you put up with me for a few hours and get a free meal and at best awesome happens"
Her: *laughed* "Yes I'll go on a date with you"
and that's the important part. Then I walked home and did a happy dance. Anyway mission successful, advice no longer needed.
