As many have noted, this is more of a hotel than a true AirBnB experience (though that should not discourage you, it's a great place). It is called "The Birds Villa Apartments" online. The free transfers and free car are very good to have as it's very hard to get around the island any way but by car (Note that the transfers are only free 7:00-22:00 and that insurance beyond liability for the car costs extra). The wi-fi is spotty but usable. The location is great, short walk to the beach and the local super. Perissa itself is a great base from which to explore Santorini, away from the hectic main towns. The rooms are more or less as described in the listing (we didn't get the exact unit you see in the pictures, but it was still a comparable unit).

Overall I'd recommend this place for anyone staying on Santorini, and would likely stay here again myself if returning to the island.