I had Isabelle at Box Hill and had her with me while being stitched up and then in recovery because the midwife wasn't needed on the ward. I even breastfed skin to skin in recovery with her!
I just had James at the Mercy in Heidleberg and we LOVED it...A bit OT but the staff were great and rooms were only 2 to a room - I had one to myself!! I had James on my chest for cuddles during the surgery, he was with DH while I got wheeled to recovery and they weighed him while I was monitored and then he was back with me in recovery - I didn't breastfeed there but I got to hold him the whole time and it was just lovely to have him there and he was happy to just have cuddles. Again I think it was because I had the midwife with me - although she was off doing other stuff because they forgot to test the cord blood and I am O neg. Talk to you hospital about it and the possibility of having either a doula(Mercy don't allow doulas in recovery) or an independant midwife with you. Good luck!