There are a number a ways a year in the wilderness can go wrong. The big ones that I can think of are: exposure, injury/illness, thirst, hunger, and boredom/loneliness. Need a plan to address all of them. Have 5x4x8 cubic feet worth of stuff to do it.
Exposure: I live in NC, so my experience with real cold, particularly the wet cold I expect to experience in this scenario, is limited at best. But I know enough to know exposure is a big issue. I would not want to spend a year in a tent, but I would certainly want an arctic tent to have someplace to start. Something like this:
https://www.slingfin.com/products/arctic-6 along with an appropriate small stove/ stovepipe. Sounds like there will be enough easily-gathered wood that I wont need fuel, but i wouod bring a small pile of wax firestarters to make life easier the first few
days. I actually consider shelter so critical that I would bring a duplicate tent if there were space.
Clothing will be critical. I'm in general a fan natural fibers, particularly in outdoor situations where durability is important and/or around fire. That said, a set of down outerclothes, including booties and mittens will pack down to nothing and could come in handy.
So as to to not make this unreadably long, won’t specify everything on clothing but basically:
Warm Weather clothing: minimum 2 sets,
everything permethrin treated, including head net.
Winter clothing: minimum 2 sets. This will be layers for versatility
Boots: 2 pairs warm weather, 1 cold/dry, 2 cold/wet
Plenty of wool socks
Sewing kit.
I’d plan to build something better/more comfortable , most likely a small log cabin. Will specify tools later. Would build big enough to fit the tent inside for extra warmth but not much bigger, both to save labor and to make it reasonably easy to heat. Portable wood stove for heating/ stove pipe/ stove pipe jack. 2 fire extinguishers.
Sleeping pad, sleeping bag, pillow, multiple blankets. I am far more comfortable under blankets than in a sleeping bag but if it gets cold enough, one must do what needs to be done
Rain gear: something durable such as is worn by fishermen or oil pipeline workers. Don’t plan to be outside in the rain but better to have it and not need it.