There is already hints within the game that there will be DLC. I am pretty sure we will get some sort of DLC, but given that Legends Arceus didn't, I can't be 100% certain. They will obviously have patches and stuff when it is needed, but I don't think we will have free updates other than adding capability for the use of more pokemon they add in DLC.
However, Sword and Shield is the second highest selling game, only being beat by the original generation. So I am almost certain Game Freak/Pokemon Company will grasp and run with that idea and add DLC because people will buy.