I guess knowing your budget for gear would help.
If you check Cableas and Bass Pro, you can get a respectable setup in the $200 range. You can spend as little as a hundred bucks, but the quality isnt as good. I've got a $100 setup, a $200 setup, and a $300 setup (I got on clearance for $200). the $300 setup is head and shoulders above the other two. Of course, most of my fly fishing is light weight stuff, I throw a 7' 3wt for trout in the mountains when I can.
Gear:
Cheap vest for stowing stuff you need immediate access to. Hydration pack for carrying the rest of your gear, etc.
Hemostats and clippers on retractors. Waterproof digital camera. Polaraized sunglasses are a must for fly fishing. Packable rain jacket. Wide brimmed waterproof hat.
Neoprene waders with felt soled boots. Long underwear, and a pair of fleece tights to go underneath. Heavy socks plus synthetic poly sock liners. Consider an inflatable PFD, too. Wading is tricky and dangerous, and being in Alaska, the water is rough, deep and cold, and you might be a long ways from help.