It's nice you are asking for ways to help her, when we first had our DS i breastfeed so my DH always made sure I had a drinks and snacks on our little table near by safes me getting up if our DS was in for a big feed.
He never did any night feeds, as it was pointless us both being up and he couldn't feed our DS, so I did the night, he then got up in the morning with DS,where I tried to sleep.
Some women like their men up with them to do stuff to help, so it's a personal thing between the 2 of you, and it may change as baby gets older or until you find out what works.
Make sure your S.O had time for herself, to have a bath, sleep, watch the TV. Offer to take the baby out of the house, it's not a break if you can still hear baby crying in the next room.
Base on another thread, don't pester her for sex or intimacy, she's just been through a big thing physically and mentally.
Make sure you communicate how you are feeling as well, talk things over and don't be too hard on each other. It's a big change for you both so be kind to eachother.
I'm assuming you already do your fair share around the house, but up the game a little while she's recovering and adjusting.
Ask her what she needs from you, and listen to her. Every woman is different and deals with becoming a mother differently. We can all give bits of advice but ultimately listen to your partner and her needs.
Oh and congrats, it's the best thing ever !