As Peter said, the Burren centre at Mullaghmore never was finished though the detritus took years to remove - great victory for peoples' power despite the fact that the proposals to build another on the Burren still hover threateningly.
Galway is a pleasant city (as cities go) and you're sure to find a session at The Crane Pub most nights; (out of the city centre heading north, over the Bridge (Claddagh on your left) and somewhere to the right - (we always use the Kashmir Indian restaurant as a guide - and for a meal).
There is a session on Friday (I think) nights somewhere on Shop Street where you might be lucky enough to hear Tommy McCarthy (of the London McCarthys) play - lovely fiddler.
Jim Carroll