Are sugars made of glycerol and fatty acids?

No glycerol is a chemical in its own right. It is CH2(OH)CH(OH)CH2OH but an oil can be converted to Glycerol and fatty acids. So it is more correct to ask "Is an oil made from glycerol and fatty...

No. Sugars are carbohydrates, such as glucose. These are made of carbon, hydrogen and oxygen and are usually found in a ring structure.

Lipids have both glycerol and fatty acids.

The sub class of lipids 'oils and fats' are made up of glycerol and fatty acids but there are several other lipids which do not have these constituents.

Lipids are made of Fatty acids and glycerol.