The gravitational form factors (GFFs) of hadrons are the subject of ongoing and quickly developing theoretical and experimental investigation. These quantities, defined from hadronic matrix elements of the energy-momentum tensor, encode fundamental aspects of a hadron's structure, including how mass, spin, and internal forces are distributed both spatially and among the hadron's constituents. In this talk, I present and contextualize the results of a recent first lattice determination of the flavor decomposition of the GFFs of the proton and pion at close-to-physical parameters