There's a few people you could ask (your OB who will be doing the surgery, the person when you get registered, etc) or you could call the hospital. Some hospitals have policies related to picture-taking... some have more strict "rules" while others are more flexible. I do think it's unlikely to be allowed, but definitely ask and see. There will likely be a few people who you need to ask, including the staff in the room on the day of your surgery.
Where I used to work, I know it would have been not allowed- even with my vaginal delivery DH and our doula were not allowed to take any pictures until baby was delivered and initially assessed. And they have a pretty strict "no cameras in the OR" rule, except for medical documentation. Also, very strict on only one support person allowed (usually the husband).
Even if you are allowed, a pro photographer would likely not be allowed to bring any flashes, etc. in (as it would be distracting to the surgeon) and would have to stay in a designated spot which may or may not provide good visibility. It's not like they can say "hey doc move over, I want a shot of the baby!"
Good luck! I know it's a very special time, and you want it documented. At the same time, from the hospital's perspective I know why they wouldn't want it. I hope you are somehow able to get some nice photos to remember your baby's birth.
I guess I should add- I'm an operating room nurse!