Girl at my college

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Alright /adv, I got a question for you.

I basically know for an absolute fact that this girl likes me. We both go to college and she's a year younger than me (her first year in and my second year in). She always talks to me inbetween classes and the times she doesn't she's with her friends and acts really shy. She has been flirting with me and gave me her number earlier today (I guess now yesterday lol). I have always hated people overall, but for some reason I can't hate her, and seem to get a weird emotion around her that seems what you'd consider being nervous. I sometimes stutter around her (I never fucking stutter, I don't understand).

Anyway, long story short, my friends found out I have her number and know I might be somewhat "interested" in her, and they know how I am. Lack of empathy, no cares, never liked anyone more than a friend, etc. This girl I can't get out of my head. Light voiced, cute, shy, innocent, you know the details probably.

Anyway, so they said to ask her out. I didn't know if I should. Still don't. Anyway /adv, here's where you come in. Any first date advice? I am, well, cowardly when near her sometimes, but I never show it. I speak like I do to everyone else, just more to her. Any first date advice guys? I really keep finding the same advice like, "Movies" or "Dinner" or even something as stupid as "Dancing." I CAN'T DANCE. Anyway, advice guys?
(Pic related: my reaction when I realized that I have a small chance of not being a sociopath)