Robinhood is about to launch crypto wallets. Bitcoin trading is already commission-free with Robinhood account but you buy and sell crypto like any other stock market asset.

With crypto wallets, as I understand, it will be possible to actually trade those coins.

There is a waiting list and in my experience it takes at least a few weeks to roll out a new feature to your account but you can join the waitlist now.

Obviously, with Robinhood you will need to report your gains to IRS in the US and corresponding tax agencies in other countries.