@uwpx 2 time c-section mom (one emergency and one planned): it's reasonable. It sucks recovering for abdominal surgery and caring for a newborn but it has to happen. I will say the first one is THE HARDEST. You are thrown into the deep end and have a spouse recovering for surgery on top of it. You're doing it on hard mode, it's not just you or something you're doing wrong.
Big Questions: If she's sleeping overnight, is she breastfeeding/pumping or doing formula? If you're on formula: setup a formula station in babies room. We used a Baby Breeza water dispenser, we poured in nursery water and it kept it at the perfect temperature at all times. When it was time for a bottle we'd fill the water, add the formula ourselves and it was done. If you're doing pumped milk: prep bottles and place them in a cooler bag you take with you each night upstairs and keep a bottle warmer in the room. You can keep a basket nearby to put used bottles in and just clean them in them in the morning. Prioritize getting back to sleep.
Do you have any supportive family and/or friends nearby? Family help was crucial for us. Having an extra adult for an overnight is GOD TIER. Even just one time was a huge boost. If an overnight isn't possible, having someone who can swing by to do those cleaning tasks- even just the bottles or laundry. This isn't an option for some people but in case anyone has been like "oh let me know if you need help?)- call them. Tell them specifically what you need. "Hey, does that offer for help still stand? We are in the thick of it right now and I just need help getting caught up on laundry. I can promise a baby snuggle in return!"
All in all: you are doing great right now. You sound like a kind, supportive, loving partner and parent. What helped me was keeping my head down and getting through life a few hours at a time. And if it's any consolation: if you decide to do this again and have a second one it is WORLDS easier. The first one breaks you like a wild horse, you are being transformed right now and it's painful.