Just be aware that using Google Drive that way will put another copy of all your music in "C:\Users\USERNAME\Google Drive", for example. So you will have two copies on your PC, one of which is on the C: drive, which may cause drive space issues.
So you may want to point your Google Drive to some other disk. You could just point it to your original music folder, but that would leave your originals subject to the vagaries of Google Drive, which frankly could do anything to them.
Dropbox would be similar.
The MC process would also re-copy all the files, or at least try to initially, and would require user intervention to continue.
Better to use a proper backup tool that includes synchronisation of changes only, and keep a good local copy, or sync to the Cloud, or better still, both. That tool isn't MC.
EDIT: VP beat me. Same message though.