I always did. I think it's pretty normal, especially in the first few months.
If you haven't already, you might want to check out the Breastfeeding Moms group here at CafeMom. The members there can help you with any questions you have.
I'm sure it's normal! After so long I got to where I never felt them. I've been nursing for over 3 years straight now with tandem nursing 2 kiddos.
I had that at the beginning too, now after almost 8 month of nirsing, I don't feel it anymore.