Be advised, it would be best to check in with the local BLM office in Hanksville or the Capitol Reef National Park Visitor's Center at Fruita for road and weather conditions before you go. Cathedral Valley is not a good place to get stranded in!!
Be safe. Be prepared. Come back safe and sound!
For good info and maps of the area visit this website:
National Park Service Website
Here is a great link on other stuff to see while you are in the area:
CAPITOL REEF SCENIC DRIVES