Just make an effort to get to know more about your date. Ask questions and genuinely listen to the answers. Open up about yourself when appropriate, but don't make things all about you. And don't forget, a little humor goes a long way to alleviate any initial awkwardness.
Don't pull out her chair. Who does that? Actors and servants. It is nice to open doors for her, but u don't have to run ahead of her just to get the door. Be yourself. Don't change anything just to impress her.