My Girlfriend never wants to see me?

So I have been dating this girl for a little over a month and we have only been on one date. However, I'm unsure if this is a bad thing (usually it would be) but she seems perfectly content. I am not, though. It's been 5 weeks without a date. Whenever I ask her out on a date she says no, but then she goes and hangs out with her friends. Even if I ask her a week in advance like she said I should do, it's a no. So not only must I book a spot (that's what it feels like, I'm booking her!), but it's almost an indefinite no. I feel like I'm quickly becoming the third wheel and like she's just not interested. A few days ago, I tried to figure out if something was bothering her so I was texting her and I asked if something was wrong or if she wanted to talk about her feelings and she said "just **** off ok". So I was really hurt by that and I spent most of that night staring at my ceiling, depressed. I was stunned... The next day we were talking again but it's like we both were avoiding it. Monday was my birthday and one of my friends at school has the same birthday. She didn't get me anything and said happy birthday to him first in front of me and then she remembered about 10-15 minutes later and said "oh, happy birthday". Last night he and I, along with about 6 other friends including my girlfriend were hanging out to celebrate and stuff. She got him a gift... amd not only was it a gift but she put like a box in a box in a box and so on and she went all out with the tape. She did NOTHING for me. No hug, no kiss, even. However, she made sure to hug him. I really like her and I don't want to lose her, but I'm beginning to question my sanity. I have tried to talk to her about seeing her more often and she says "technically, you see me everyday" or something along those lines (because we both go to school together, she's 13 I'm 14). But I want to spend alone time with her, like a date. I have asked one of her friends who I often confide in and vise-verse and she says that I will only be disappointed if I think she'll change. She agrees it sucks, but I would rather not have other people in our relationship. She matters a lot to me and I'm at the point where I don't know what to do. I can't fix anything if I can't see her - alone, of course I would rather not have all of our friends hear us have a rather private discussion... In addition, these feelings have prevented me from showing her much affection. I can't remember the last time I held her hand, hugged, or kissed her and yet again, she seems not to be bothered by it. However, we talked a lot a few nights ago and she is indeed interested in me still, because we have a lot in common, and we really enjoy when we spend time together. But she is content without dates, I suppose... Any suggestions?