Graham is an architect and a partner of Allies and Morrison, the practice he co-founded in 1983. He is also a co-owner of Fisher Morrison, a locally based furniture and joinery maker. Outside of his work, he has been a member of the Royal Fine Art Commission, a Commissioner of English Heritage, a Member of The South Downs National Park and has contributed to and chaired a number of Design Review Panels. He has been awarded an OBE. Graham joined Bury Parish Council in 2020 and is easily identified as the person accompanying Alice and her two whippets in walks around the village.