If we live in a libertarian society , where you were able to run a free market paradise , without hurting anyone of course ...
What business would you run?
What type of libertarian society do you mean? One with no government controls at all? In that case I'd have some sort of Hunger Games / The Purge type scenario where you can run around killing anyone you like

. Total anarchy is never great as people can't be trusted to play nice.
On a serious note I kinda like how a whole cannabis industry has popped up in some US states and other countries like the Netherlands. If cannabis was legal in my country I would probably open up a dispensary /smoking room. I haven't smoked weed since my teens but I don't agree with drug prohibition and I know it would make a great business here and take in a lot of money. I quite like the idea of social cubs or coffee shops in Amsterdam where people just go to chill have a chat and coffee or maybe even play a game of pool. Will probably be a long time before it's legal in my country but hopefully we can take after the states once they see the industry is working and they're missing out on millions in taxes.
What makes you actually think that people would want to go around killing others? Couldn't they at least be deterred by the fact that others could kill them? That is a good question though. There is a lot of talk about libertarianism on this forum. I never quite thought out completely the police bit. I wonder what would happen with crime in a libertarian society.
Cannabis sounds like a great business idea. Maybe you could just move to a country where it's legal and get on that.