Wagga Wagga is midway between Young and Albury on the Olympic Hwy.
Qantas and Rex have direct flights to Sydney; Rex flights are on smaller planes and (usually) cost more.
Wagga Wagga is a stop on the twice-daily NSW TrainLink XPT service between Sydney (from $44, 6½ hours) and Melbourne (from $44, 4½ hours). The train also stops in Albury (from $13, 1¼ hours). Connecting buses to a variety of rural destinations depart from the station.