I have had two c-sections and two completely different experiences (two different hospitals).
Find out what the hospital policy is on where baby goes after it is born. With my last c-section my daughter stayed with me the whole time. In the OR hubby was with her as they took her vitals and cleaned her up a little bit as I was being stitched up. Then in recovery she stayed with us and the nurse helped get her latched (this within the first hour).
The only time she left me was to get her first bath. This is normally done in the recovery room, but something was wrong with the sink. So hubby went with her and the nurse to another recovery room. Gave her a bath and brought her back to me which took less than 5 minutes. This is when we got her latched. She then stayed with me in our room...Then she got jaundice...whole different thread. LOL
Oh and I did get flat nipples (normally they aren't...but did because of the fluids they give you during surgery) so with the help of the LC we got a nipple shield. I only used that a couple of times. Then my nipples went back to normal.
I had her 5:30 Monday night and my milk came in on Thursday.
Now with my son I had him in another hospital. After he was born I didn't see him for 3 hours. This was the hospital policy. They took him (with my husband) to the nursery and did all his testing there. So it was 3 hours before we could get him latched. Which turned out to be the beginning of a nightmare.
The hospital had terrible LC support and none of the nurses were of any help. Needless to say I developed PPD and ended up pumping for him for a year. I never could get him to latch even after having an LLL lady come to my house. She was of no help and I was too upset and depressed to seek further help.