When I have birth both times I was alone without my husband. I gave birth once in Kunming and once in Beijing, and both hospitals were adamant about not having anyone in the room with me (this is mostly because, whether or not you have a private room after the birth, during the birth your wife will be laboring with a lot of other women, who presumably wouldn't appreciate the presence of a strange male in the room).
As for communication, I barely even needed to communicate with the doctor, much less my husband. There's really not a whole lot to discuss. I imagine your wife's family will be there too to help handle the logistics? After the birth the hospital doesn't really provide anything except clothes and blanket for the baby and your wife (which you have to pay for). Your wife will be hungry so you'll need to provide something for her to eat, probably either chicken soup or a soup with egg and brown sugar. If her parents are going to be there, no doubt your MIL will be on top of this.
I went completely natural for my birth in Kunming, there was never even any discussion of painkillers and I knew this going into the process because I asked and they told me no dice. It was an option for my birth in Beijing and I took advantage of it and got an epidural. It did cost extra, but not a whole lot extra, I think the epidural was 700rmb and the cost of the whole birth was 4000 some odd rmb. This was in a very good hospital in Beijing, but it was still a local public hospital. Chinese doctors tend to be pretty anti painkillers, so do not be surprised at all if it is not offered/available for your wife. Have her practice doing some breathing exercizes and techniques for managing the pain. A lot of Chinese women get pressured into a c-section by their doctors because they're afraid of the pain and freak out because they haven't been taught any coping strategies.
She'll be fine though, like the others said, Chinese people are experts at birthing. Congrats on making to the final stretch!