In everyday English, when someone mentions sugar, they are probably talking about sucrose aka 'table sugar'. And you are correct that sucrose consists of a glucose and fructose molecule bonded together.

In a more...official or scientific context, "Sugar is the generalized name for sweet, short-chain, soluble carbohydrates, many of which are used in food." as Wikipedia puts it. That means that sucrose, glucose and fructose (and many others) are all considered to be sugar.