You could probably walk to Caleta from the airport... no, seriously, it will cost about 10 euros - Caleta is right next to the airport, you'll see your hotel as you're coming in to land
Just jump in a taxi when you get there - there should be plenty of them as you come out of the airport building. For the distance by taxi to Caleta, I wouldn't bother faffing around with shuttle buses, might as well just get a taxi. Coming home, just get your hotel reception to order a taxi for you.