The Green's Function Monte Carlo method of Chin et al is applied to SU(2) Yang-Mills theory in (2+1)D. Accurate measurements are obtained for the ground-state energy and mean plaquette value, in good agreement with both strong-coupling and weak-coupling expansions. The method of Creutz ratios is used to estimate the string tension, but here the accuracy is not so good. Nevertheless, universality between the Hamiltonian estimates and the Euclidean estimates of Teper seem well borne out. Some outstanding questions are discussed.