Of course you do! During the time you are in Granada you will have the weekends free with the exception of two of them that you will have a trip organized by the program. The rest of the time, you won’t have any problem to travel wherever you want to.
Moreover, if you come during the Fall semester, you will have at least 2 long weekends of 3 days each. This is due to national holidays such as October 12th, November 1st and December 6th and 8th.
If you come during the Spring term, then you will be able to enjoy the 9 days of vacation for Easter break and a couple of long weekends. In this case the holidays are February 28th and May 1st.
Finally if you come in the Summer program of June, this may change. Because it will depend on whether the Feast of Corpus Christi is celebrated in that month or at the end of May.
You can take a look at the BSA Travels section for ideas on where to travel to.