Yes, it is just that easy. By definition, we've all had a first date. Remember, she's inexperienced to. You just have to say "Would you like to see a movie?" If she says yes, you make a date. If she says she has to wash her hamsters or whatever, then you just move on.
What's holding you back is the fear of getting told no and looking like an idiot. the reality is that, at some point, you will get told no and you will end up looking stupid with a girl. that's part of life, just like getting colds. The key is to accept that it is just part of life, and not something to be feared.
If you're ever going to be successful with girls, you're going to have to learn to handle getting told "No." The reason this is so important is that if you never ask, you'll never hear "Yes." In order to hear "Yes" you have to be willing to accept being told "No."
Get over yourself and ask her!