Gasparis'place is not an airbnb apartment but familly run small villas. It is located near by Perivolos beach. From the airport, you need to take a bus to Fira, then change the bus to Perissa. You get off the bus at Perivolos and need to walk for 20mins to reach the place. But Gasparis is a very kind person, so I'm sure he can arrange a transfer from the airport or if he is available, he can come to the airport or to the bus stop.
The nearest supermarket is mini market (4mins walk) which you can get basic things. If you cook dinner, you need to go to Big discount supermarket which is 25mins far by foot, but they have a free transportation to and from the supermarket, so don't worry.
Since it is a hotel, you have only oil, vinegar, salt, pepper, tea and coffee, shampoo and soap. But you have the cleaning service everyday. The linens are all clean and new. The cleaning lady was also very kind.
The only problem was wifi. Our room had no wifi. Gasparis tried to solve the problem but the situation didn't change. The wifi signal didn't come to our room.
If you want to go also to Fira, Imerovigli or Oia, you need to take a bus for 1 hour and half and need to pay 8.40euro(round trip) to go to Oia. And you need to walk 20mins from the bus stop on the way back to the villa, so you'd better stay at Fira or Oia.
If you want to enjoy Perviolos beach, I highly recommend Gasparis' place because Gasparis and his family are very kind and the beach is 100m away. Thank you Gasparis for your kindness.