We stayed here after long international flight. Yes, Publix shopping center easily accessible. First Watch also there, but breakfast and lunch only, closes by 2-3 pm.
for interesting, good and historic, Uber over to coral gables to the Biltmore Hotel for a meal. Staying there is a different price range, probably better for a weekend not a night.
The shuttle driver last year gave us discount card for Cuban restaurant, ask for what is available.
best feature of this close-to-MIA hotel, is the soundproofing. You can see the jets, but do not hear them!