How nice that you are coming with your daughter, Sabine!
There are plenty of things you could do in Dublin! How many days will you be in town for?
You'll find plenty of suggestions right here
. The Visit Dublin website
is also a wealth of information to plan your trip. Make sure to check out their "What's On" section for events.
A few personal favorites would be to spend an afternoon in Howth
(a coastal village nearby, reachable by the DART train), check out Trinity College and its Old Library or simply walk along the streets (Merrion Square for instance has really cute houses with colorful Georgian doors)