How do I get my friend to try new things?

Okay, we're both high school freshmen. My friend has been really nerdy all her life. Always getting A's and everything. I'm pretty smart too (I get all A's), but I'm not like her. I don't spend countless hours studying like her. For example, my younger brother (5th grade) and her younger sister (4th grade) go to the same school. We both graduated from there. It's a Catholic school so it goes from kindergarten to 8th grade. So anyway, at our younger sibs' school, they were doing a Christmas program. The Christmas program was happening during the days for our semester exams. I went to the program to support my brother, but my nerd friend stayed home to study for finals. Talk about anti-social! I also try to look my best and pay attention to my appearance, but she's had the same hairstyle all her life (naturally curly and a little past chin length), and when her hair gets to her shoulders she always says "It's getting long, I need to cut it." It irritates me because it would look nice if she grew it out long. She also never wants to straighten it. My parents also never let me go anywhere (eg. school dances) unless she's going too. And she usually never goes! It's not fair. She's never really had a crush on a guy before. I can vent to her about my guy problems, but she can't give advice. I've known her since the 2nd grade, but I only started being friends with her in the 7th grade. It may sound like I don't like her, but it's not true. She just bores me a little. I'm not trying to be mean at all, but what should I do?