There are of course, many hunting regulations in Minnesota. For instance, you can only hunt on designated public lands, your own property, or other private property with permission of the owner. You must have a valid hunting license and the appropriate stamp, tag, or lottery number for the game you're hunting. You can only hunt game during the appropriate season, with the appropriate weapon (e.g. firearm, bow, muzzle loader), and for certain species, in the designated location. These are just a few examples. You should be familiar with the complete hunting regulations handbook (available online from the DNR) before you go out into the field.
Check out these Warba, MN Hunting resources: