Today you might like simply to take it easy and admire the views with a good book and swim in the Mediterranean.
If you're keen for more hiking though, then you're well placed here. There's a lovely trail that follows the rugged cliffs along the coast, returning by the medieval town of Begur. There are different options so you simply choose how much to walk.
Aiguablava is particularly lovely. There's a series of pretty little coves and fishing ports dotted along the coast and some great fish restaurants.
Enjoy a second night at your small charming inn by the sea.