Ask if she has ever been on a vacation or where she likes to travel to locally, and be a good listener! Wait a few weeks and plan something similar for her. You will earn major brownie points! I told my boyfriend I would like to go to Washington DC someday to see everything and he surprised me out of nowehere with a trip. Since you've been together a month only, don't be that extreme! Think along the lines of a camping trip, a hike, maybe go to a lake or beach. Be thoughtful and she'll love it.
Describe your ideal first date; Where do you go? What do you wear? How does the date end?
I usually ask the girl where she wants to go and try to create something based on that. Typical stuff, dinner, maybe a movie, bowling. Ideally I would give her a short kiss goodnight if things went well but that's the most. I wouldn't push for too much more.
Afterwards..what will your date know about you?
I would tell her about my job and a little bit about my family to give her an idea of my background. I would hope she would think I am a genuine and caring person.