A lattice formulation of Euclidean, weak-field, path integral quantized general relativity -the low energy effective theory of quantum gravity -is presented. The lattice formulation allows the generation of a Markov chain of dynamic, vacuum (matter free) spacetimes at non-zero temperature, obtained here using the Metropolis algorithm. The positive action conjecture is implemented on the lattice, ensuring both a probabilistic interpretation of exp(βπ GR ) and that πΏ(π GR ) = 0 generates the Einstein field equations. Equilibrated spacetimes are found to have nonzero curvature, a consequence of quantization. Preliminary studies of discretization and finite volume systematic effects, and the variation of vacuum spacetime curvature with temperature are presented. Prospects and future directions, including the combination with the QCD vacuum, are discussed.