This is Stone's most impressive location, with gardens, brew tours, and great food.
Great Italian food. Maybe best pizza in the city. No reservations for smaller parties, so get there early, put your name in, and get a drink across the street at Kindred, South Park Brewery, or Hamilton's Tavern. There's also a location in Liberty Station.
A great set of trails within the city limits. Kwaay Paay is the shortest of the hikes, and less populated than Cowles - though both offer great views of the city at the top. If you want something longer, check out Pyles, or either of the Fortuna hikes (North and South). All Trails is a great app for these hikes.
Awesome ocean views and light hikes. You can spend anywhere from 30 mins to ~4 hours depending on how much you'd like to see. As well, the world famous golf course is here, though you may have to spend a bunch and plan ahead to do so.