Tent with rain fly, pillow, sleeping bag, sleeping pad, head lamp, multi tool/knife (leatherman), chap stick, camera, extra batteries, paracord, small roll of gorilla tape, dry bags to keep your gear from getting wet, have one bag that is designated for trash to pack everything out with you. Water proof sports watch to keep track of time.
Its hot during the day and gets cool at night. I don't like sunscreen so I always wear sun protective clothes. Long pants, long sleeve shirts, sun gloves, buff and a hat. Since your gunna be in some white water and may take a swim leave the Costas at home and pick up a decent cheap pair of polarized sun glasses.
MRE's may not be for everyone but I think they are the easiest way to have a complete meal for the day without worrying about anything. Don't have to boil water to re hydrate the meal and they are sealed in a waterproof pack. They also come with matches, toilet paper and gum in each package. Canteen and filtration pump. I use a MSR filtration pump and make sure to bring some electrolyte mixes. The best is powdered pedialyte, most backpacking store like REI also sell electrolyte tablets in varying flavors. No fires allowed in the Gorge so bring a jet boil if your going the dehydrated food route.
10' 4wt and a 9' 5wt are the rods I packed, 3x, 4x, and 5x flouro tippet, 7.5 and 9' 3x leaders, net, split shot, hemostats, dry fly floatant, indicators, and flies. PMDs, Caddis, Yellow Sallys and Hoppers are the primary hatch in July. Best patterns include the classics: Stimulators, Parachute Adams, Bloom's Paracaddis, Parachute Hoppers, and a variety of PMD patterns for dry flies. Pat's Rubber Legs, Pheasant Tails, the Mayhem, Juju PMD, Hogan's Red Headed Stepchild, soft hackle Hare's Ear, S.H. Pheasant Tail and the deadly LaFontaine's Caddis Emerger for nymphs.
Repair kit, life vest, pump, tie down straps, paddles, and rod tubes
The most helpful folks that I would like to put a shout out to would be Royal Gorge Anglers, Toads Guide Shop, Gunnison River Pleasure Park, and Black Canyon Anglers. Everyone helped out with flies, fly selection, timing of the trip, shuttle service, sharing knowledge and tips of the Gorge, campsites and information that helped put this trip together.