Convert your playlists to Beats MusicDon't have Beats Music? Sign up here
Step 1: ConnectConnect to Beats
Step 2: Select Input
From CSV file
From iTunes Export file
Due to Grooveshark's API Terms of Service (namely this clause: 'GROOVESHARK will receive all advertising revenue generated by Licensee's use of the API.' I will not be implementing a Grooveshark importer.
You can however go here to export your Grooveshark playlist to CSV and then use BeatsImporter to import the resulting CSV file.