First you need uncomment this lines in /etc/ssh/ssh_config on server:

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X11Forwarding yes

The second step is connect to server with -X and execute Chromium

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ssh -X user@hostname chromium

You will see it on client computer.

BTW, you don’t want to use the -Y flag instead of the -X flag?

Quite simply, the difference between -X and -Y is that -Y enables trusted X11 forwarding.