Yes, if you are injured in a car accident whilst a passenger in a Uber you are covered under the CTP insurance of the Uber driver’s vehicle. It is compulsory for all motor vehicles in NSW to have CTP insurance which covers compensation for injuries sustained to, in this case, a passenger in a car accident.
You are entitled to compensation for any injury sustained under the Motor Accidents Injuries Act NSW 2017. This act allows you to recover compensation for loss of income and medical expenses and possibly claim damages for pain and suffering and future loss of income.