The paper presents the results of experiments on measuring cross sections for the neutron transfer channels 9Be(3He,α)8Begs,3.03 in the reaction of the 3He (30 MeV) ions with the 9Be target. To describe the angular distributions, we use the Distorted Wave Born Approximation (DWBA) method (FRESCO code). The results of the theoretical analysis are in agreement with the experimental data. In addition, we perform calculations based on the solution of the time-dependent Schrödinger equation (TDSE) for the weakly bound neutron of the 9Be nucleus. The TDSE approach allows us to determine the dynamics of the neutron transfer process and calculate the probabilities for the transfer and removal of the neutron of the 9Be nucleus in the 3He+9Be reaction.