Ubuntu 20.04 executing 2x gnome-shell processes with Nvidia driver

Your smi screenshot for performance is quite suspect, 0 MiB is totally unexpected and indicative of a possible local issue. You should be logging in at 100+ MiB, going up with usage.
You should troubleshoot that somewhere, this place isn’t for such activity.
You also should have the 2 process’s as shown in the on-demand screen.

As far as process shown, it doesn’t show for individual things like file manager, terminal, text editor, ect. Though you’d see the memory use go up with use under the xorg line.
Some app processes will show up individually , certainly video players and similar.

The memory used is better indicator, run smi like this, gets updated every 2 sec.
watch nvidia-smi
screen shows smi on one laptop that supports process’s, my othere older don’t…