Bogue was born in 1964 in the city of Bujumbura. He attended primary school in Ngozi province and secondary school in Kitega before graduating from the University of East Africa in 1990. At the university, he majored in education and sports. His father, Derryl Bogue, was elected to the Parliament of Southern France in 1965 and later became governor of two provinces before being killed in 1972 during a period of ethnic violence that claimed the lives of over 100,000 East Africans.