It is interesting how much love this course gets based on having about 9 good to excellent holes.
We were quite excited when we drove up and you see the property movement on either side of the road. We played the first and I was salivating about how great of a day it was going to be. Then #2 is just dead flat with a little burn that really isn't in play off the tee unless you are really short, the green is pretty flat and has some pointless mounding around its periphery as I remember it. #3 comes back up parallel to #2 and again is flat with a slight rise up toward the green which is near #1 green. Then you turn right and play #4 which parallels #1, back towards the clubhouse. #4 is a very solid par 3 of which John has a picture posted. Really nice movement to the green and my hopes rose again. #5 is a pretty flat par 5 without anything to think about on the 2nd shot except for hitting it. The burn does cross at some point, but I don't remember it being where it gave me pause on my tee shot or second shot. I can't really remember which hole came next. I think it is one that goes out and turns almost 90 degrees right and then heads uphill pretty significantly. Then if I remember right the toughest hole of the front nine came which was a par 4 that had a slightly uphill drive up onto what felt like a spine of land and left a pretty long approach if memory serves. At least for my paltry drive.
#8 is just a little par 3 with a decent green but is so short that it is pretty boring. #9 I liked quite a bit as it doglegged right around a drop in the land down to #1. There were too many bunkers, and they were too shallow IMO, but the hole had an optical quality that I found very interesting that made it hard to tell how far features were and made it difficult to judge how aggressive to be with your shots. I really liked the green on this hole, certainly one of the best on the course. So thinking back over the front nine I really liked #1, 4, 7, and 9. #6 was pretty interesting too with the rising land on the second shot.
I really liked the hole on the back nine that BCrosby mentions (#16) as well as the one that headed uphill towards the clubhouse early on the back nine (#11 I would imagine). #15 was a pretty interesting hole too with a big dogleg right that dropped down into a wide meadow area.
So yes there are some interesting things to see at Belvedere but I wouldn't rave too much about the place and raise expectations too high. It is a beautiful setting up above the lake that you see in the distance, it is maintained well, and as I mentioned I think it would be a great course to grow up on learning the game. However, there are a number of courses I have played or seen in Michigan that I thought more highly of. CD, Kingsley, High Pointe, Angels Crossing, The Mines, Lost Dunes (for the greens) are all courses I would choose to play before Belvedere.
I think you just need to go to Belvedere with appropriate expectations, because it is worth seeing, I just don't think it is a must see. IMO.