Hi A.-
You and the other new Mommy posting today are in the same boat. You have a BRAND NEW baby. Why do you think new parents are always sleep deprived? They don't sleep because the babies get up every hour! That's part of the deal.
Nap whenever you can get a few moments at any time during the day. At night my husband sometimes helped by getting the baby, changing her, and "presenting" her for breastfeeding. I didn't even have to get out of bed sometimes.
Of course he had to go to work, so I just had to drag my tired butt up most times. Check back with us when your daughter is 8 months old, only then should she be sleeping a long time.
It's such a wonderful time in your lives right now, don't wish these exhausted months away. The time will fly.