No, uninstalling doesn't remove the database file, you should still have it where it's stored: https://www.mediamonkey.com/support/knowledge-base/mediamonkey-install-config/modifying-the-mediamonkey-db-and-ini-files/

I uninstalled because I got a new computer and I wanted to transfer the license.

Gosh I hope that's not the case but I don't see it.

Yikes!!!!!