Exploring
Dublin is a beautiful city and the best way to explore it properly is to walk through it. While much of Dublin can be enjoyed simply by wandering around and going wherever looks interesting, to get the best experience possible it is advisable to get some form of guide book.
Bus
Dublin has a bus network, most times of day or night just about every part of the city is accessible by bus.
Tours
A number of guided bus tours run in Dublin. These provide information on the identity and history of the various landmarks visible from the tour. These tours are often provided in more than one language. Dublin has a diverse array of people living here so tours in most languages can be found eventually (except Gaelic, nobody speaks Gaelic).