A posteriori error analysis for the Adaptive Virtual Element Method traditionally includes in the error estimator the stabilization term of the Virtual Element discrete space. The objective of this thesis is to prove that this stabilization term is bounded above by a stabilization-free a posteriori error estimator for the two-dimensional Stokes problem. This work is inspired by recent developments on the same topic for the classic elliptic problem. To this end, the analysis is restricted to triangular meshes with aligned edges, where only a bounded number of hanging nodes are generated during the refinement process. The a posteriori error estimator was implemented to compare the performance of the stabilization-free and the standard upper bounds.