For summertime camping, it is a good idea to bring your sleeping bag, a tent, along with plenty of bug spray and sunscreen. Light colored clothing and plenty of water!
Tents, med sized tarps, used for underneath the tents or as shade, storage container to put all supplies in at night, bug repellant, sleeping bags, sleeping pad, hiking shoes, sunscreen, hat and light clothing.
Be sure to have lots of water in the summer. Also, bring spray or nets for bugs. If you would like just bringing a hammock to sleep in may be more comfortable than a whole tent. I would also recommend packing as light as possible and just sleeping on the mats without a sleeping bag.