Hi PerplexedwithCatalina,
Thanks for reaching out in Apple Support Communities. I understand that you're unable to open the App Store on your Mac after upgrading to macOS Catalina. I see you're getting an error that the App Store can't be opened and the report indicates it's quitting unexpectedly. I know how important it is to be able to use the App Store on your Mac; I'd like to help. First, start your Mac in safe mode and try to open the App Store: How to use safe mode on your Mac
If the App Store opens successfully in safe mode, restart your Mac normally and test again. If the issue persists, I'd suggest reinstalling macOS Catalina: Reinstall macOS
Let me know what you find.
Best Regards.