State of Alarm ends on Sunday 21st June. Travel is permitted throughout Spain and Schengen countries. Travellers from Britain will not have to quarantine but will have to maintain 14 days quarantine on return to the UK lifts its own . If you can not keep a social distance of 1.5 metres you will still need to wear a mask. Valencia has decided to keep all conditions of phase 3 in place.

Source El Pais in English.https://english.elpais.com/society/2020-06-20/as-all-of-spain-enters-the-new-normality-on-sunday-what-will-change.html?rel=listapoyo