Insight on everything that is required when publishing a game.

Okay, first I would like to state that I am a student with no knowledge of how selling a game or even publishing it works. I pretty much only know how to make games. So the questions that come to mind is, do I have to get officially recognized as a sole proprietor at some government building in order to publish my game under my name? (Just assuming there, I literally have no idea how it works.) And after doing so have to write a copyright for the game so its under legal protection? I would think it's a long process but if someone with experience could give me some advice, I'd really appreciate it as I want to be in this industry.