I am so incredibly sorry that you are in this position :( My thoughts go out to you in your loss. I had what they considered to be a D&E at 9 weeks, but I believe it was a D&E (not D&C) because I had not passed any tissue or had any bleeding beforehand. They explained to me that its basically the same procedure, but they are removing all of the "tissue of conception", rather than just removing what remains after having some previous bleeding.
I am not sure if everything would be the same based on how far along you are, but the procedure was relatively easy physically. I arrived about an hour before my schedule surgery time and they did all the pre-op stuff; vitals, started an IV line, asked questions... Once all of that was done, DH was allowed to come back and sit with me as we waited for the anesthesiologist. They asked me a bunch more questions and then administered the IV w/drugs. Within 30 seconds I became loopy and vaguely remember being wheeled into the OR. Next thing I know, I was waking up in the first recovery room. I believe I was in recovery for about an hour or so and was given some juice and crackers. Before I was allowed to leave the hospital, they needed me to pee (which stung when I did it- but that is normal they say).
The rest of the evening I layed on the couch and had virtually little to no pain. Some women do experience cramping for a few days. My bleeding was very minimal, though my OB said I could bleed for a week or two. I was instructed to abstain from sex or using tampons for 2 weeks, though some OBs say 4 weeks.
Physically the whole process is not much to worry about, though emotionally it can be draining. My thoughts and prayers go out to you. The women on this board are incredibly helpful and supportive, so certainly reach out with any other questions you have. Many hugs to you!