That's not a bad move but it is to the extreme end of possible behaviors. I'd suggest never do anything on your work computer you wouldn't want HR, CIS, your granny, or your boss to see. Keep the personal use to a reasonable time unless company policies are different.
My experience has been quite different than
@GilmourD
In prior jobs, at HR's request & compliant with your employment agreement/handbook, I've installed software to track everything you do on your computer.
I've configured all of your work email to be shadow copied to an archive to be used against you if/when you're dismissed, configured a web filter to report to HR employees who hit a job site or when you spend more the X hours browsing the web. I've had to investigate your computer files & activity at your manager's request. Now in some of these cases, the employee's behavior prompted this. In others, it was someone they just wanted gone/may want gone and wanted to collect due cause.
My current work computers have several security agents that permit CIS to see logs of every file I touch, every use of my administrative accounts, inspect all of my actions & applications for potential intellectual property policy violations. They can reconstruct anything I've done w/ my machines in the past several days with these agents, if they want...I just don't give them a reason to.