I was going to say the exact same thing. Got the T shirt! In another thread discussing food, that is where I had swordfish in Ireland, yummy! A must, for anyone going to dublin/ireland is to go to a hooley night. One of the best experiences you cant find anywhere else. A fantastic dinner while listening to great music and sitting alongside people from all over the globe laughing and chatting with strangers and then as the food disappears and more booze flows, a great night of dancing and fun.
NB: If you smoke, pick up a carton of Majors. Best cigs I have ever tasted and Ive tasted quite a few in my time. Great after a meal. If you dont smoke, feel free to pick me up a carton and I'll reimburse you
If you're in to walking and the countryside, places like blessington have hosted international golf and have stunning lakes and hikes. Glendalough is lovely as well.
The horsie races are great and I believe there are some on dublin beaches annually, I dont know if this coincides with your trip.
The guiness factory IMHO is a bit overrated. There is a great pub, just off the ferry, taking the road south around the coast a few miles away, forget the name, a lovely place though.
Kilmainham Gaol is just a bus ride out of the city centre. Not as impressive as alcatraz but an interesting old prison.
If you're interested in history, trinity college is a good visit which I think houses the book of kells.
If you arent renting a car, you are stuck to just dublins shopping and drinking. However if you can rent a car, you can visit many places very easily including the zoo and museums.