You’ll land in Capodichino airport (which is quite out of the city of Naples) and from there you can take a bus (or a taxi) to the city. Probably the best way to go to Sorrento is by train with CircumVesuviana at the Naples Central Railway Station. Then I’ll suggest you to go to Piazza Tasso, and from there go down to the old town where there are a lot of little shops, and also your beloved chocolate covered orange peels. Going down to the sea, there are Marina Grande and Marina Piccola. In Marina Grande I suggest you to eat “da Emilia” a little restaurant literally on the sea, especially if you love fish. There’s plenty of good ice-cream shops also.
photo taken by me a month ago, not a shiny day, though