It is advisable to take a cab from the terminal.
Alternatively, you can take the Airport Shuttle bus to the city centre, and at Albertplatz take the tram no. 8 to “Südvorstadt”. Get off at the stop “Dresden Postplatz” and bear left. Cross Wilsdruffer Straße towards Postplatz and stay on the right-hand side of the curving street, then take the second street on the right, Kleine Brüdergasse. The building entrance is located near the end of the street on the right-hand side.