To use public transport, you will need to purchase an Opal Card from a station, Relay or WH Smith. The card is for free, but you will need to put money on it and then pay as you go (tap on and off at every train and in every bus). A trip from UNSW to Coogee is about $2.20, a trip to the city centre about $4.
Journey information is available from the local public transport site. The app TripView Lite is advisable for live updates of buses and trains.
On Sunday, there is a flatrate charge of $2.70 for public transport all day. This includes a trip to the Blue Mountains and all ferries, for example.
What to do in and around Sydney
- Sydney Opera House -- Do we need to say more?
- Harbour Bridge and Bridge climb (or just a walk across)
- Stroll through the lush Botanical Gardens and enjoy a superb view on the Opera House in front of the Harbour Bridge.
- Relax at Coogee Beach, have a swim or a surf in the ocean, or take laps in Wylies Baths, an ocean pool with a grand wooden platform. Coogee Beach is also a perfect starting point for a coastal walk to Bondi (roughly 6k; don't forget sunscreen!).
- Learn how to surf at Maroubra, Bondi, or at Manly Beach.
- Take a train to the Blue Mountains. Katoomba is the standard tourist option, but there are many options for 1-2 day hikes, many of them reachable by train. The Royal National Park is another nearby option for outdoor enthusiasts.