Pros:
Decent variety of shots. While the front 9 have mostly open shots, there is some elevation change, and opportunity for a variety of shot shapes. A few shots are downhill enough that they present a different feel and throw. The back 9 incorporate a few very uphill and one short downhill shot that is always fun. Several have dense tree obstacles and one with just enough trees to make the green less accessible, plus it had a sloped green that forces good angle control. Also, getting to the green off the tee on holes 10 and 18 will challenge most anyone. They throw about 460-470. Overall, good variety of shots, just make sure you do the back 9 if you're getting bored after the front 9.
Easy to navigate the course. Clearly marked posts with distance and hole number make getting around the course easy for even a first timer.
Good quality baskets that will catch an ace every now and then
Low chance of losing a disc. Almost all fairways include well manicured grass so finding discs isn't an issue here. Good place to practice with a bunch of discs. A few holes on the back 9 may get squirrely if you get into the rough or go down the hill though.
Low interference with other recreationists. Aside from the playground on hole 9, you won't see many people recreating that aren't disc golfers. Being high security hospital grounds, you won't see many people playing other sports, picnicking, or wandering the open fairways like most other multi-use disc golf courses. You might have to wait for the occasional car to throw over a road, but I'd take that any day over a clueless dog owner playing fetch in the middle of a hole. This is probably one of the biggest pros of the course. It's usually not too crowded with disc golfers either.
Beautiful place to meet with friends and enjoy the sunset or scenery while disc golfing.
Cons:
No tee pads. This is probably the one reason I wouldn't give this a 3.75 or 4. The dirt next to the posts can be muddy, very uneven, and sometimes ambiguous as to where to throw from. While I lived in Provo I considered offering to put cement tee pads in myself with some buddies if the State Hospital would provide the funds for materials. That would take the course up a huge notch.
Plays over a few roads.
Course grass is often being watered, or is still very wet from being watered.
Fairly repetitive front 9 and the course doesn't use downhill shots as well as it could.
Other Thoughts:
Some have mentioned the high security and the necessity to check in at the Administration building, but I haven't had much issue with this. I don't condone breaking the rules or disrespecting the State Hospital, but I've gone and checked in and the secretary at the front desk was surprised and almost unaware that I was supposed to. You see disc golfers constantly in and out of the parking lot by hole 1, not having checked in and I haven't noticed any problems. So perhaps they've gotten lax on that rule? I dunno. Overall, I really enjoyed coming here a few times a week and getting some good practice throws in. You may see a few other golfers, but for the most part you don't feel rushed or leery of other people's throws. Fun course to push yourself for birdies and to just enjoy a good round. If you're in the Provo area, it's well worth a visit!