We have studied the dynamic properties of a single spin (Mn impurity or resident electron) in a II-VI semiconductor quantum dot. A quantum dot doped with a single Mn atom presents six lines which allow to probe optically the spin-state of the Mn atom. Pump-probe experiments at a single dot level were carried out to demonstrate that the Mn spin could be oriented in a few tens of ns, and that the spin-distribution prepared by such means was perfectly conserved over a few µs. The optical pumping of the Mn spin at zero magnetic field is controlled by a strain-induced magnetic anisotropy. Furthermore, seeking for a microscopic mechanism controlling the optical pumping of the Mn atom, we have evidenced spin relaxation channels within the exciton-Mn complex. At last, we have evidenced an optical Stark effect on any of the lines of a Mn-doped quantum dot. Concerning the dynamics of an electron in a II-VI quantum dot, we have evidenced optical pumping of the resident electron, and dynamic nuclear spin polarization.