What?
It really couldn't be simpler: You open settings -> screensaver, choose blank after N minutes and close the settings window. Works.
Note, I'm using Debian Sid. Gnome 3.36.2 on Wayland.
It also turns my display off, which is not what I want: https://i.imgur.com/z5BIqGj.png
Seems like it's not as simple as @nxbp claims.