The NRA has materials for new hunters.
They also sell a good cookbook with recipes from members.
Watched any outdoor TV shows? Some of them concentrate on pretty high- dollar hunts, but there is still some information there.
Art suggested dull clothing, but hunter orange may be required by state law. Even if it isn't it's a good idea to buy and wear it. (Being mistaken for a deer is unpleasant at least and can be dangerous or deadly.)
Safety is more important than anything else in the woods. (Not getting lost is part of safety.) I've passed up shots at deer because, although I wanted venison badly, I knew my bullet might pass through and end up in a populated area. Sometimes I got another shot that day, sometimes not, but I didn't compromise safety.
I'd suggest going out for grouse and rabbits first, if you get to NH in time for small game season. It's a good time to find places to hunt in deer season, and doesn't require the amount of time deer hunting takes. Grouse season usually coincides with the best color of the fall too. Sitting waiting for squirrels is good practice for trail watching for deer.
Have you got a rifle? If not, don't go overboard on caliber. I started deer hunting with a rifle with a .30-06. Now I use a .250 Savage. It's lighter to carry and dropped most deer I've shot on the spot. My state requires shotguns or muzzleloaders for deer in the more populated areas. Check NH law before buying a deer gun, or you might have to buy two. (Of course, that's not necessarily a bad thing.
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HTH.