Graham is Chair of Djerriwarrh Investments Ltd. He is also Deputy Chair of Gandel Group and Gandel Foundation, and a Director of Stars Foundation Inc. Graham was Chancellor of Swinburne University of Technology from 2014 to 2019 and Chair of SEEK Ltd from 2019 to 2026.
Graham is a Fellow of the Australian Institute of Company Directors (FAICD).
Graham was Vice Chairman and a Managing Director at Goldman Sachs Australia, retiring in 2012 after a 25-year career with the firm in Australia.
Graham was awarded an Officer (AO) in the General Division of the Order of Australia in 2020 for distinguished service to the community through philanthropic foundations, to education, and to the banking and employment sectors.