See if the brown stems are flexible. If they bend easily, they're just dormant. If they snap off, they're dead and should be cut back. Work carefully, though; a branch can be dead at the end but still green closer to the base.

If you're still getting freezing nights or snow where you are, cover your rose with something to protect it in bad weather, because new transplants are delicate. An old blanket works well.

Good luck and enjoy your rose!