Depending on the time you want to allocate for excursions to near (and far) places, this list is to provide you with a few suggestions.
The marsh "Aiguamolls de l'Empordà" a national park and bird sanctuary is a stopover for migratory birds on their way to and from Africa. It certainly merits an early morning visit by you too.
The Cap de Creus the Iberian peninsul's easternmost point is marked by nature taking on a face of savage scarcity. But thats just at first glance!
Cadaqués made famous by Salvador Dalí is still the remote outpost of bohemian life he always wanted it to be.
The many coves around Roses are best access by water or risk bodily injury by descending the stunning precipices that lead down to them. A visit to Girona or Perpignan, etc., etc., etc.