Hi. My mac 'refuses' to upgrade from Big Sur to Monterey. I hit the Get button and it simply is Looking for Updates of Big Sur. THX!

Try downloading it here: How to download macOS - Apple Support

If that is where you tried, it will go to Software Update and seem to search, but it should show download button.

I just tried and got it to download.

Try again while in Safe Mode.

How to use safe mode on your Mac

Follow previous advise - First

What is the output of the below Terminal Command ?

softwareupdate --list-full-installers

Does it list Monterey at all ?

You hit the Get button where, exactly?

What is your mac model? How much free space on the system drive.