Well, just look at the pictures and you'll get the idea: it's really a unique place with a stunning view. The apartment is just as I would imagine one in such a place, small, simple but cozy. There a table and beach chairs in front of the apartment so you can enjoy the view while having breakfast or an aperitivo. Be prepared though to rent a scooter (plenty of choice in Lipari town), it's a 10 minute ride from the Lipari center. No way to get there by foot.
Ferdinando was incredibly helpful and nice, but in the same time discreet. I would definitely recommend this place.