Naples has a lovely downtown called "Old Naples" with several shops and restaurants. There are two main areas, one being 5th Avenue South and the other 3rd Street (with cross streets being 12th Ave South). Most of the restaurants listed below are in these two areas.
A great coffee shop in the heart of Old Naples. Their mixed berry scones and cinnamon rolls aren't to be missed!
This is the beachside restaurant at the Ritz. Get there early if you don't want to wait. :)
There are lots of good restaurants in this plaza like Roco's Tacos, Tulia's, 239, Hampton Social, etc.
If you're in North Naples, this is a public access point for the beach.
This is one of many public access points to the beach if you're staying further south or are downtown.