Yes, that's a rose bush. Unfortunately, I have no idea what kind it is. I know little about roses, although I've grown them in the past. At present, I only have miniature roses in containers.
I would say you should probably prune them somewhat. Pruning won't harm them, and they will sprout new growth in the spring. I think if you don't prune them now, you'll have to anyway in the spring, because the branches will probably suffer some winter die back.
One of our members who knows more about roses should be along eventually and give you better information.
(I edited your post so your picture would show. Hope you don't mind.
"Isn't it enough to see that a garden is beautiful without having to believe that there are fairies at the bottom of it too?" - Douglas Adams