O.M.G.
This place is gorgeous: a blend of Aspen and deciduous woods, it's a place that will be gorgeous any time of year. The pine forest is in fairly good shape, with what appeared to be little pine beetle damage or over-logging.
Since this is a wilderness area, you can bivy out and camp in the wilderness areas (there's one up near the summit pass) or you can pay your campsite fee and camp at the primitive sites that come with concrete pits for campfires and concrete pads.
IMPORTANT NOTE: The sites listed online are not clearly indicated that they are DOUBLE sites. That means, UNLESS you reserve BOTH sites, you could be camping neck-to-neck with someone you don't know. So book both sites and pay the extra dough. The best by far is the site that's near the trailhead for the Mount Timpanogos trail and parking lot. There's two sites there 4 and 5. 4 is butted up against a thick Aspen site. 5 is better and is SIMPLY one of the most amazing sites I've ever seen. Covered with old enormous pines, it bellies up to the rapids below which during early summer are very swollen and wild. The sound permeates everything, everywhere you go. The bad thing is that it's so loud, a bear will not hear you, so hike/bike with bear bells. The good thing is that when you're trying to sleep, it's heaven.
Another note: it gets cold as hell here, especially the higher you go. So even in summer, pack your -0 sleeping bag and polypropylene, though in the day, it can get hot.
I would NOT recommend the lower mountain sites, as they became severely flooded while we were at the higher elevation, and campers had to be evacuated. With all the heavy snow pack, lots of rain, those sites flood, as does the road, which, after two nights of camping, we frightfully discovered. So keep an eye on where the park rangers and camp hosts are to get updates on if the roads are still open in case of rain.
This is back country at its best. To hike to the Timpanagos Trail, you will cross soggy snowfields and have creek crossings. It's rather rugged, but you CAN hike for a little ways, then always turn back if you're creeped out.
Another thing to note: the mosquitoes here (because of all the run-off) are bad. Another notable: it is a LONG, winding drive with no guardrails, so be careful of other drivers and make sure you get enough beer/ice to last you as the drive to Provo is a long one and there's no concessionaires on the mountain to sell either beer or gas.
But the views, despite the bear warnings, floods and mosquitoes are worth the long drive.
You've got to watch out for bears though we didn't see any. read more