Clifden is the largest town in Connemara, great place to stay or visit for lunch and puttering around. The Sky Road is a twenty-kilometre scenic loop located near Clifden - with tons of look-outs making for a nice drive, walk, or bike ride (although pretty steep at points).
Have already got a couple questions about Golf :)... Not speaking from experience, but Ireland is meant to have some of the best courses in the world! This seems to be the best course near the venue, highlighting the scenic views and unique terrain of Connemara.