We can organize full day excursions to Capri from Sorrento (or other places as you request).
The full day excursions take 7 hours and are made in this way:
Departure from the port of Marina Grande with navigation along the coast of Sorrento. During the journey you can admire: the remains of a Roman villa at the Bagni della Regina Giovanna, the natural waterfall that flows from the rock and other attractions along the Sorrento coast.
Arrival in Capri and tour of the island by boat with stops to visit the Gray Grotto, the White Grotto, the Green Grotto; along the way you can observe the Natural Arch, Curzio Malaparte’s villa, the Faraglioni, the lighthouse of Punta Carena, the Heart Grotto and the Blue Grotto.
A quick advice for you: to visit the Blue Grotto there is an additional price of 18€ per person to pay at the spot by cash, with our boat you will arrive outside the entrance and then the staff of the Grotto will pick you up with a small fisherman boat. You cannot enter in a different boat or by swimming because it is illegal. The other way to visit the Blue cave is going by the stairs from land and the line will be shorter than the boat line.

There will be stops with free time for swimming and snorkeling, as well as a relaxing break with drinks offered on board and also a 3-to-5-hour stop to visit the island by land.
The time to swim and to visit the island by land is up to you, because it is a private tour and you can customize it with the skipper.
Return to the port of Marina Grande in Sorrento.