It's one of the risks that every breeder has to take; it is financially straining, emotionally straining (as the female could die, it's not common but it is always a possibility), and all of the time that will have to be spent bottle feeding.
As far as I know, the owner can stay, and the female should probably stay for at least 24 hours, like with most serious surgeries.
I just read about the possibility of bringing your girl in to get a c-section =( I'm sorry. I wish you & her the absolute best. You should definitely call your vet and go over all of your questions with him/her, different vets have different policies and I think a lot depends on how the surgery goes.