I'll answer very briefly.
In Nunavik, public health is the jurisdiction of the province's Regional Board of Health and Social Services. The same goes for Inuit people in the territories.
In Nunatsiavut, Labrador, the Inuit government is responsible for public health, and it works with the province of Newfoundland and Labrador.
As for Métis people and indigenous people living off reserve or outside their communities, they are the responsibility of the province or territory, depending on where they live. We maintain a presence at the federal-provincial-territorial round table and work with these public health specialists to identify issues and challenges. We collaborate Canada-wide, but we're not directly responsible for public health in those communities.