Yes, that's correct. Granulated sugar (sucrose) is fructose and glucose. Corn syrup is glucose syrup made from corn. HFCS is made to simulate sucrose by adding fructose to corn syrup.
In the US we like to market things based on what they don't contain (unsalted butter, unsmoked provolone, etc), so glucose syrup is sold as as "0g High Fructose Corn Syrup, aka light corn syrup with _real_ vanilla":
HFCS is actually more like invert syrup then, which consists of glucose and fructose separately, like honey. Sucrose consists of glucose and fructose chemically bonded together.
