Step 1: Understanding the Concept
Cellulose is a straight chain polysaccharide made only of glucose units.
Step 2: Linkage
The units are \(\beta\)-D-glucose joined by \(\beta\)-1,4 glycosidic bonds. These let the chains stay straight and hydrogen bond into strong fibres.
Step 3: Contrast
Starch has \(\alpha\)-D-glucose units with \(\alpha\) links, so its chain coils.
Final Answer:
The monomer of cellulose is \(\beta\)-D-glucose.
\[ \boxed{\text{(C) }\beta\text{-D-glucose}} \]