Why I stopped using my Librem 5 after two weeks of hassle

Personally, I never use the PureOS Store. Basically it is GNOME Software, and a pretty old version of it, which hangs way too often. And even on newer versions this is not totally fixed.

I recommend the following to update: in the terminal type:

sudo apt update

The command above will check for updates, but not install them.
To install the updates, run:

sudo apt full-upgrade

Regarding the gnome-usage. I guess you see this when you open the Usage app. gnome-usage is actually the Usage app itself, so if you close it, it stops using the CPU.

Normally I use the top command to see CPU usage, but unfortunately, on the small screen of the Librem 5 it is not so useful, but you could try it in landscape mode, with the keyboard collapsed.