If this really is "the girl of your dreams" I have a few suggestions that don't have to do with what guns to bring, as others have given you good input on that score.
Explain, don't lecture, and early on say something like "If I see you doing something dangerous I'm going to stop you immediately. You probably won't, but I'm telling you this now so you won't get upset if I raise my voice. I don't much care about your marksmanship today but I care a great deal about safe gun handling."
2. Do not fawn over her. Pretty girls get this so much they lose all interest in the guys who kiss up to them. New mindset: You are LETTING HER join you in something exciting. I hope the invitation was "I'm going shooting this weekend--it's going to be perfect weather and there's a great range I use. If you'd like to join me I'll pick you up at 8:30, if you've got something to wear that you won't cry about if it gets a little dirt on it" (said with a grin).
When she said "yes," I hope you added "I'm assuming you're not one of those flaky women who thinks 8:30 means 'sometime before noon.' I intend to be at the range by 9:00."
3. Pack up and quit shooting while she's still having a good time. Do not wait until her shoulder or hand hurts or she's tired.
4. After shooting, do not make plans right away to do something else next weekend, no matter how well you think things went. I cannot stress this strongly enough: DO NOT SELL TOO FAR IN ADVANCE. Not even if she rips your clothes off on the ride home. End your first date with her while she's still wanting more, and don't be too eager to plan the next one. This holds for future dates as well. And don't think of them as "dates," think of them as "I'm doing this and I'll let you join me if you behave." New mindset: Welcome to MY world.
|Testing, Testing... 1,2,3... Testing
Pretty girls have a different reality than you or I have. Their reality is that men almost always do whatever they demand. Believe it or not, the women are tired of this. The "test" is a way to cull out the mediocre males and find the ones with backbone. It's instinctive for women, because it works so immediately and so well. When you pass one test, you will get another, sometimes right away, sometimes later. This usually goes on as long as you remain involved with a woman, but as you keep passing her tests, they become less and less frequent. Be aware of this, and act accordingly.
|Click for "Woman: Most Responsible Teenager in the House?"
7. Don't get "one-itis." Talk to EVERY girl that catches your eye. Tease them. Let others come shooting with you on other weekends (if they promise to behave.) Pretty girls have lots of options--it just happens. You can have lots of options, too, but it won't just happen. You'll have to see to that yourself.