Corbeil went to the Université de Montréal and obtained a doctor's degree in dentistry in 1978 before becoming an associate at a local dental clinic. He would later become the manager and vice-president of the Quebec Association of Dental Surgeons. He would also be the president of the Val-d'Or Chamber of Commerce, a municipal councillor in Val-d'Or for nearly ten years and president of a local hockey league.
Corbeil jumped into provincial politics in 2003 when he was elected as MNA for Abitibi-Est as the Liberals under the leadership of Jean Charest. He would become the Minister of Forest, Wildlife and Parks in 2003 and during a cabinet shuffle in 2005 would become Minister of Natural Resources and Wildlife.
His term was marked by several closures of plants and sawmills in the lumber sector, including Domtar, which cost several hundred jobs for regions such as the Outaouais, Nord-du-Québec and Abitibi-Témiscamingue. Restructuring plans were tabled by the Minister in order to re-launch the economy of several towns affected by the closures due to the softwood lumber dispute.