Propan-1,2,3-triol
A 3 carbon chain .
Glycerol is an organic compound as it is composed of carbon, hydrogen and oxygen. It's molecular formula is C3H5 (OH)3. So glycerol is not an inorganic compound.
Glycerols can be found bonded with fatty tails in fat molecules.
I would say no, simply because sugars usually end with -ose such as glucose and fructose, but i couldn't be sure, i haven't looked into it.