These non-sleeping tents are commonly referred to as shelters. While there will be some campsites out there with a wooden shelter that you can move to for games or just hanging out, you may be somewhere that does not have these amenities. The most simple of the shelters is the flysheet. The flysheet is a piece of canvas stretched with poles on either side. The most common flysheet may simply be a tarp stretched across two trees with a rope hanging up to support the weight. While this protects some from the sun and the rain, there is no horizontal protection at all.
The gazebo is an enhanced shelter using poles on at least four corners. Gazebos can be much larger with the use of 10 or more poles on the sides of the tarp. The Gazebo is usually extremely tall in the center with headroom even on the sides of the shelter. These are used for cooking space and to store equipment. The last shelter is an actually just extremely small dome tent. They are sometimes called beach tents, fishermen tents, or supply tents. The thin skin along the outside protect the supplies inside from animals and light showers but really do not protect the equipment from large storms.