The term "Blue C Sushi" does not appear to be a widely recognized established concept in general encyclopedic sources. It appears to be the proper name of a specific business entity, specifically a former conveyor belt sushi restaurant chain based in the Seattle, Washington area.
Limited contextual information suggests it operated multiple locations in the Pacific Northwest and California during the 2000s and 2010s before ceasing operations. The etymology of the name is not definitively documented in widely accessible reference works, though "Blue" may refer to the Pacific Ocean or the brand's color scheme, and "C" may stand for "Conveyor," "Chain," or a founder's initial.