So would need to know the engine, and year, of your Buick.
The hose pictured is for the 2002-2005 Buick Rendezvous with the 3.4/3400. That breather hose would go from the front valve cover, to the intake tube, to the rear valve cover.
Its a different hose for the 3.5/3500, and the 3.6HF engine.