We show that the recombination kinetics of two-dimensional electrons with acceptor bound holes is a sensitive probe of the local spatial structure of the electronic system. Using the time resolved magnetoluminescence, we extract the regime of the electron Wigner solid and establish its local configuration consistent with the triangular lattice model. Up to the melting point, the amplitude of the thermal vibrations of the electron crystal is derived from the temperature dependence of the recombination kinetics.