Cruise ships dock at Ujina Pier, which is located about 2 mi/3 km from the city center. The port is quite industrial, and there are few amenities for cruise-ship passengers. Hiroshima has an excellent tram system, but the nearest stop, Kaigandori, is a 10- to 15-minute walk from the port, through an uninteresting area.
If there are taxis available, take one to the city center and then utilize the trams. When taking the tram, enter from the back and pay at the front when you exit.