When in Broome use the local bus.  There are two services and one price ($3.50 full fare and $1.50 concession).  The routes differ slightly, but either one will usually get you where you want to between the town centre and Cable Beach.  If you like you can stay on the bus for a full circuit to get a feel for the town.  The drivers helpfully let you know the name of the next stop so, if you know where you want to go, it is difficult to get lost.