Bus Éireann (www.buseireann.ie) serves most of Connemara. Services can be sporadic, and some operate May to September only, or July and August only.
Citylink (www.citylink.ie) has several buses a day linking Galway city with Clifden via Oughterard and on to Cleggan and Letterfrack.
For stop-offs between towns, you might be able to arrange a drop-off with the driver.
Your own wheels are the best way to get off this scenic region's beaten track. Watch out for the narrow roads' stone walls and meandering Connemara sheep – characterised by their thick creamy fleece and coal-black face and legs.
The main road from Galway is the N59, which heads northwest via Oughterard to Clifden then swings northeast up to Letterfrack and Connemara National Park then on to Killary Harbour before crossing into County Mayo.
An alternative route between Galway and Clifden is via the R336 and R340; you can either join the N59 near Recess, or continue along the coast via the R342 then R341 to Roundstone, Ballyconneely and Derrygimla and on to Clifden. Side roads lead to tiny inlets, little coves and remote beaches, and the low, bleak islands of Lettermore, Gorumna and Lettermullen, linked by bridges.