© 2018 American Physical Society. We use microscopic Be9 wave functions defined in a α+α+n multicluster model to compute Be9+target scattering cross sections. The parameter sets describing Be9 are generated in the spirit of the stochastic variational method, and the optimal solution is obtained by superposing Slater determinants and by diagonalizing the Hamiltonian. The Be9 three-body continuum is approximated by square-integral wave functions. The Be9 microscopic wave functions are then used in a continuum-discretized coupled-channel (CDCC) calculation of Be9+Pb208 and of Be9+Al27 elastic scattering. Without any parameter fitting, we obtain a fair agreement with experiment. For a heavy target, the influence of Be9 breakup is important, while it is weaker for light targets. This result confirms previous nonmicroscopic CDCC calculations. One of the main advantages of the microscopic CDCC is that it is based on nucleon-target interactions only; there is no adjustable parameter. The present work represents a first step towards more ambitious calculations involving heavier Be isotopes.