Along with the titanate and stannate materials, Gadolinium Zirconate, Gd2Zr2O7, makes up a series of model pyrochlore systems characterized by a Heisenberg antiferromagnetic coupling with dipole-dipole interactions as the leading perturbation. There is evidence for a magnetic transition in Gd2Zr2O7 at 0.7 K although both how this ordering develops and the nature of the magnetic ground state of Gd2Zr2O7 are unknown. We propose to use muon spectroscopy to investigate the evolution of the magnetic order in pyrochlore Gd2Zr2O7 down to low temperature.