Hey there, GearedChaos.
It sounds like you are noticing some apps that have been installed, without your approval, while connected to the internet. I have some suggestions.
If you see pop-ups on your Mac that just won’t go away, you might have inadvertently downloaded and installed adware (advertising-supported software) or other unwanted software. Certain third-party download sites might include programs that you don’t want with the software that you install.
If you think that you might have malware or adware on your Mac, update to the latest version of macOS. If your Mac is already running the latest version, restart it. macOS includes a built-in tool that removes known malware when you restart your Mac.
Check your Applications folder to see if you have any apps that you didn’t expect and uninstall them. You can also check the Extensions tab in Safari preferences to check if you installed any unnecessary extensions that you'd prefer to turn off. If you continue to see advertising or other unwanted programs on your Mac, contact Apple. “ About pop-up ads and windows in Safari
You may also consider using Malware Bytes: Malwarebytes Cybersecurity for Home and Business | Malwarebytes
I hope this helps.
All the best.