Will gas be free in ETH 2.0?
More generally, will gas ever be free? Is it feasible in near decades?
Ethereum 2.0 is starting out with the beacon chain: What is the difference between Ethereum 2.0 and the beacon chain?
You cannot make a transaction or run smart contracts on the beacon chain. So gas doesn't apply.
In the future, when there are "eth2" smart contracts, there will be gas as @Zakoff and others have explained.