Even in the summer, I use synthetic or natural fiber base layers all the time. These work great underneath waders. I also use a fleece layer underneath my waterproof jacket. Remember layers are your best friend in Alaska's inclement weather.
Waterproof Layers
A high quality waterproof raincoat is a must. Because rain is not an if, it's a when.
Outdoor Shoes
The only 3 shoes I ever use in the summer in Alaska are my Tevas, waterproof Hiking Boots, and my trusty Xtratuf Boots. I would recommend bringing Tevas and waterproof hiking boots to be comfortable in different conditions.
GEAR
Binoculars
If you'd like to see any of the wildlife up close we highly recommend bringing binoculars. Chances are the wildlife will be close enough to see with your naked eyes, but you don't want to miss out on something if it's further away.
Camera
If there's one thing you're going to want to have with you in Alaska, it's your camera. The views and wildlife you see in Alaska will truly be unlike anything else - and you'll want to document it.
Backpack/Drypack
Any bag will work as long as it's comfortable and you're ok carrying it on hikes and other adventures. Something big enough to fit snacks, water, camera, bug spray, sunscreen, and extra layers like a raincoat. I also recommend putting a small waterproof dry bag inside for valuables in case you get caught in a downpour.
MISC
Sunscreen, beenie, blackout sleeping mask, mosquito protection, camera charger, extra SD card, reusable water bottle, toiletries, polarized sunglasses, headlamp and if you're feeling brave, a swimsuit for a polar bear swim in the river.