Hi Heather, I am not entirely sure where this hotel is- but I believe it is close (10 minutes walk ) to Sant' Agata. There is a good bus service from here into Sorrento, stop outside most hotels. The taxis are rather expensive from Sorrento town. Most hotels have shuttle services into Sorrento, and from there you can get to Naples, Amalfi, Pompeii etc easily.
It's a beautiful area- we liked being "up in the hills" for the views. There are some lovely walks around, and if you like walking the guide books with the sunflowers on the front give very good detail. Check out the public wash house in Sant Agata- it's like something from the 19th century! (still in use)
Your main problem will be the transfer from the airport, can't help with this, maybe someone else can. Just be careful in railway station area of Naples if you do it by train.