Roebuck was educated at St Stanislaus College, Bathurst; the University of Sydney's Cumberland (Faculty of Health Sciences) Campus, Lidcombe; and University of Notre Dame Australia, Sydney, Darlinghurst.
Roebuck was a physiotherapist and played rugby in his spare time when the game was an amateur sport.
Since 2015, Roebuck had graduated as a medical doctor from the Notre Dame University in Sydney.
A Test regular from his debut in 1991 against Wales, in the 63–3 annihilation in which he scored two tries, Roebuck went on to win the 1991 Rugby World Cup with Australia.
On the tour to Europe, he took kicking duties from Michael Lynagh who had been Australia's regular kicker since 1984.