Galway is like a 'mini' Dublin. It has all the historical buildings and still maintains it's small town feel despite being one of the main cities on the west coast.
Galway is a great city for culture and where the Claddagh hails from. All visitors should visit the Claddagh museum in the back of the Jewellers on the main street (it's free).
The nightlife in Galway is also excellent.
If you get tired of the nightlife and all the culture the city has to offer you can stroll out to the sea from the end of the main street and relax and enjoy the view of the islands in the Atlantic - a great way to recharge the batteries.
Quick Tips:
Galway is best explored on foot. The two main supermarkets are on either side of Eyre Square - Super Value and Roches Stores. The Bus and Train Station are beside the Grest Southern Hotel. To steep yourself in culture and experience a different life you should take a trip to the Aran Islands. A bus to the ferry runs from just outside the tourist Office (also on Eyre Square).
The internet cafe is in between Shop street and Middle street.
I would recommend Charlie Byrnes second hand book store on Middle street.
Best Way To Get Around:
Walking is by far the best way to explore Galway city.
Special bus trips run to the Burren and Cliffs of Moher in Clare (also recommended) and to the ferry for the Aran Islands (well worth a visit).
The main bus and train station is combined and just off Eyre Square (very central).