By plane
Hervey Bay Airport HVB airport is around 4km from Urangan, or a few minutes drive. It is only about an hours walk, so it would be possible if you were enthusiastic. It is certainly an easy cycle if you box your bike on the plane.
The airport is called the Fraser Coast airport, by some airlines.
Qantaslink (http://www.qantas.com.au) fly to Brisbane.
Virgin Australia (http://www.virginaustralia.com) and Jetstar (http://www.jetstar.com) operate services to Sydney. Often flights to Hervey Bay from Sydney are cheaper than flights to Brisbane or the Sunshine Coast.
There are also flights to Lady Elliot Island (you could fly there from the Gold Coast or Bundaberg spend a day or two, and then fly back to Hervey Bay if you wished to.
Shuttles are available from the Airport into town, or as far as Bundaberg.
Taxis from the airport into town cost $15-$20 depending on destination.
The airport has an ATM, and a cafe restaurant. The terminal buildings are air-conditioned. There is no aerobridge access to planes, and you must use the stairs.
By train
A coach service connects with the Brisbane to Rockhampton tilt train, that runs to Pialba and Urangan.
By bus
Coach services running north from Brisbane stop in Hervey Bay.