I think it is normal to feel that way, although some girls feel it more than others. It is better to wait to actually have a baby, though
I think the one thing to remember is that you're not going to have a baby. You're going to have a person. Keep in mind that babies are people, totally separate from you and that they are only "babies" for about two years. And this new little person thinks only about him/herself for a long time and is extremely demanding.
Being a parent is great, but it is great to get to grow up and have a lot of great memories of going out, and friends, and experiencing life without huge responsibilities for another person on your shoulders. And then, you'll also get to grow up to be a great mom! Because you can make that your goal.