From the original sale almost all of it goes to the person who minted it, minus a small fee (around 5%) for the platform. That should be the artist, but of course there are people minting art that isn't theirs. There's efforts to catch and remove that, but a lot slips through.

From secondary market sales, the artist can get a royalty if they choose and the secondary transaction is on the same platform. Typically around 10%. The same platform requirement is an issue and hopefully a future NFT standard smart contract will build in a royalty option/.