The behavior of a q-deformed Heisenberg-Weyl algebra nearby q=1 is investigated. We calculate the q-deformed symplectic structure and * product up to the first-order corrections by using the q-analog of the boson coherent state. Within this order, the Poisson bracket associated with the symplectic structure coincides with the one extracted from the * product and gives the phase space realization of the original operator commutation relations.