Monosaccharides are the simplest sugar which is made up of only one unit of sugar and can not be hydrolyzed into smaller form because it is the smallest form of sugar. These monosaccharides are basic units for disaccharides and polysaccharides. For example glucose and fructose.
Disaccharides are made up by the joining of two monosaccharides. For example, lactose which is made up of glucose and galactose, sucrose made from glucose and fructose, and maltose which is made up of two glucose unit.