Yes, glucose is reactive.
The provided reference indicates that glucose exhibits reactivity, specifically stating that "Glucose showed higher level of reactivity than fructose with respect to the extent of glycated product formation." This suggests glucose participates in chemical reactions, particularly those involving glycation (the process of adding a carbohydrate to a protein or lipid). Although the presence of fructose can make methionine residues more susceptible to oxidation, glucose itself is still reactive.
Therefore, based on the information given, glucose is indeed a reactive molecule.