Yes it's actually quite common for some women to get periods for the first half (or all) of their pregnancy.
As for the pregnancy itself, congragulations. I know you're in shock, lol to say the least, and very very confused, but that's normal too. I'm not sure how old you are, but have you talked to your parents or your boyfriend? I think if your worried about what they would say or do, it's important to come to a dissision yourself with what your going to do with this pregnancy (adoption, keeping it, abortion) because if you make a decision for someone else, you'll end up regretting it later.
i am 18 and 37 weeks pregnant. So I kinda know how you're feeling.
Good luck to you!