For route planning on busses, trains and ferries you can use https://transportnsw.info/trip#/
Shows maps of where you need to walk and where to catch and leave your bus or train.
NB Sydney trains and busses use OPAL cards<https://www.opal.com.au>
These are widely available (e.g. numerous retailers at airport, post office at UNSW) and extra credit can be aded on-line
From the airport
There are sheltered taxi stands in both the international and domestic airports. Sydney City typically $45-55 (one way)
Pick up points are available in both airports. For the domestic terminal, this is the Priority Pick-up Zone. For the international terminal, this is the Express Pick-up zone. Check here to estimate your fare <Uber Fare Estimator>
Trains are available that travel to many city destinations (including Central Station). There is no train that goes directly to UNSW
There are direct buses from the Airport to UNSW. However, it is faster to travel by train to central and then take a direct bus to the venue (for example)
NB Sydney trains and busses use OPAL cards. These are widely available (e.g. numerous retailers at airport, post office at UNSW).
From UNSW to King street Wharf - arrive before 6.30pm.
From King street Wharf to UNSW - leaving after 10.45pm.
From UNSW to Circular Quay Wharf - arrive before 7pm.
From Circular Quay Wharf to UNSW - leaving after 10.45pm.
Tired of sitting down - you can walk there in 1h 30min!