I always read/heard that newborns sleep for hours and have very short awake periods, so I was completely unprepared for my LO's schedule. She is finally starting to take decent naps now (at 11 weeks old), but the two months were her sleeping for about 20 or 30 min at a time, 3 or 4 times per day. She still takes short naps but she'll usually get in one good long one in the morning.
I still want to punch people who tell me to sleep when the baby sleeps. Sure, I'd love to but it's hard to do when she doesn't actually sleep. I feel your pain and I hope it gets better for you soon.