We present a study of the structure of hadronic events recorded by the L3 detector at center-of-mass energies of 130 and 136 GeV. The data sample corresponds to an integrated luminosity of 5 pb(-1) collected during the high energy run of 1995. The shapes of the event shape distributions and the energy dependence of their mean values are well reproduced by QCD models. From a comparison of the data with resummed O(alpha(s)(2)) QCD calculations, we determine the strong coupling constant to be alpha(s)(133 GeV) = 0.107 +/- 0.005(exp) +/- 0.006(theor).