A native of Salisbury, Gutsa studied sculpture with Cornelius Manguma at the Driefontein Mission School, later becoming the first Zimbabwean recipient of a British Council award.
The scholarship allowed him to study in London from 1982 until 1985, where he received a diploma in sculpture from the City and Guilds of London School of Artist Gutsa is unusual among Zimbabwean stone sculptors for the breadth of materials he uses in his work. His sculptures incorporate metal, paper, wood, and other foreign materials.
He is the cousin of Dominic Benhura, who studied with him.
He has also been a mentor to many young artists including Fabian Madamombe.