The total photon-photon cross section for the production of hadrons, σγγ(W, Q2), has been measured in the single-tag condition for 0.1 < Q2 < 1.0 GeV2 and 1.5 < W < GeV. The results are based on 2929 multihadron events obtained with the PLUTO detector at PETRA. The Q2 dependence of σγγ average over W can be described by GVDM. The dependence of σγγ on the mass W of the hadronic final state has been extracted at Q2 = 0.44 GeV2 by unfolding the effects of experimental resolution and acceptance. The cross section is found to rise at small W. The result is compared with VDM and the parton model.