While exploring Sydney, it is recommended to use public transportation such as buses and trains as they are efficient and relatively cheap. Consider buying an Opal Card (transportation pass) which can be used for all public transportation. A day pass costs around $15-$20 depending on the zones covered.
If visitors have more time, they can consider taking a ferry ride to Manly Beach or Taronga Zoo. Alternatively, for visitors with less time, they can skip the Blue Mountains National Park and explore the city's museums and art galleries such as the Australian Museum or the Art Gallery of New South Wales.