We study the (1+1)-dimensional Gross-Neveu (GN) model with N fermion species and derive from it an emergent AdS₃ geometry together with the leading entries of a holographic dictionary. We use a Bargmann-Wigner fusion scheme to generate an infinite tower of higher-spin composite fields from fundamental fermions and study their relative dynamics. A key feature is that the competition between spin-0 (chiral) condensation and spin-1 pairing defines the radial coordinate z of the bulk geometry. Local fluctuations of this ratio measured by a comoving derivative generate the AdS₃ line element, and the large-N species sum promotes z from a parameter to a genuine bulk dimension. The SO(2,2) bulk isometry group, whose special conformal generators mix z with the boundary GN coordinates, emerges from local symmetries of the condensates. Our construction admits two dual holographic frames related by the Z₂ exchange of the spin-0 and spin-1 condensates, covering complementary halves of the GN phase diagram. Significantly, projection onto the spin-2 sector reproduces the linearized Einstein-Hilbert action with Newton's constant G₃ = ℓAdS/4π N². We suggest throughout how the string-theoretic sector of the correspondence may emerge.