No, nothing visual about it. I can just hear it internally, and command the playback (start over, ever). It's not 100% perfect recall, though, I should note. Parts will be blurry, especially if it's only a song I ever heard a couple of times years ago. But the key thing is that I'm not hearing a conceptualized representation of the music, but the original audio (though somewhat compressed). So it's not that I'm just hearing/remembering a chord progression -- I can recall the original sound source, effortlessly.

I don't think this is super rare, btw.