I had an emergency section at Stoke Mandeville. My epidural carried me through in terms of pain relief so I was awake during the operation.
Your partner will be in the OR with you throughout the procedure, as well as a nurse who will sit at the top end of the table by your head. She will hold your hand and talk you through each stage, if you wish. You won't be able to see anything the doctors are doing down the other end because they put a screen up. After the birth it is very hard to hold a baby while you are flat on your back being stitched back up (which takes some time). But your OH will sit next to you and hold the baby while this happens, and then you will be taken to recovery and will be able to do skin to skin and breastfeed before you go upstairs to the ward. To be honest, after a long labour and the overwhelming experience of a section combined with the immediate after effects of giving birth, the fact that I could only look at my daughter and not hold her was not an issue for me.
If I had a CS I would try and find a doctor who whould do imediate skin to skin. I would go be so upset if anyone took my baby anywhere to do anything before I got to hold it. Thats just a personal thing though.
After my daughter was delivered by section, she was taken to a table within the room to do the first Apgar. "Trying to find a doctor" is a physical impossibility when you are lying on a table, cut open and the staff in the room are busy doing their jobs. It only took a couple of moments before they bought her over to me.