Deer season in NY is in the fall. You missed it.
First, you need to locate public property on which you can hunt, or get specific permission from a private owner. That assumes, of course, that deer hunting is allowed on whatever land you want to hunt.
Second, you should spend the summer scouting the property, looking for the game trails and marking them on a gps or map.
Get a set of binoculars. Don't scope an unknown object. Use the binoculars to make a positive identification before you put your scope on the target.
Get a good field dressing knife and a deer drag to remove the carcass.
Bring a pen to fill in your tag.
Carry a headlamp and extra batteries - you could be following a blood trail for hours into darkness.
Also, carry whatever you need to survive an unexpected night in the woods.