I tried installing the hardhat-shorthand plugin and whenever I try using 'hh' in Git Bash it brings up this instead:
I've had the same problem. It happens because of a name conflict with the HTML Help program (C:\Windows\hh.exe). One way to fix it is by renaming the hh.exe program, for instance to hh-help.exe.
This is a protected Windows file so you do need to get the required permission to change the name. You can follow this guide in order to change the permission.