The nearest station is Wynyard on the Central Line. The hotel is just a few minutes walk away, and you should be able to see it - directly under the Sydney Harbour Bridge. The big one.
Coming from the north, across the Sydney Harbour Bridge, take the City/West exit from the Bradbury Highway. Turn right into Great Bridge Street and you will see the hotel’s entrance on the right.
Coming from the south, follow George Street north through the Rocks area. At Orient Street turn left, then left again into Tunnel Street. Take the second street right into Great Bridge Street and you will see the hotel’s entrance on the right.
From Sydney's Kingsford Smith Airport, take the Airport Express train (every 15 minutes) to Town Hall. A taxi ride from here should take under ten minutes.