I stayed at Cheesequake at the beginning of August and had a very positive experience.

Campsite

Campsites are fully shaded and include a picnic table, fire ring, and hook to hang food supplies from (away from wildlife). The site was well kept and clean - I didn't have to look hard to find a nice secluded space for my tent.

Each site is separated from its neighbors by a small (about 5-10 foot) forested area, and are deep enough that you can pitch your tent away from the road and have some privacy.

The park is bisected by the Garden State Parkway. While the campsite is fairly well protected from highway noise, you're still going to hear it at least a little.

Amenities

The bathroom and shower facility is older and has limited stalls, but I didn't have any issues with lines or finding time to use it. They're closed for about an hour in the early morning.

Potable water is available at the bathroom and showers.

The lake has a small beach and swimming area, and a concession stand. On Friday the beach was pretty quiet, it was closed on Saturday due to water conditions however.

Access

The park is about 2 miles from the nearest train station and can be accessed on foot, but it may be difficult with camping gear. I took the train to the station and a rideshare the rest of the way to the entrance. The campsite is about a mile from the park entrance so it's easier overall to drive, but not required. Bringing a bike to travel within the park would be a good idea.