In this paper, we are concerned with hyperbolic 3-manifolds $\hyperbolic^3/G$
such that $G$ are geometric limits of Kleinian surface groups isomorphic to
$\pi_1(S)$ for a finite-type hyperbolic surface $S$. In the first of the three
main theorems, we shall show that such a hyperbolic 3-manifold is uniformly
bi-Lipschitz homeomorphic to a model manifold which has a structure called
brick decomposition and is embedded in $S \times (0,1)$. Conversely, any such
manifold admitting a brick decomposition with reasonable conditions is
bi-Lipschitz homeomorphic to a hyperbolic manifold corresponding to some
geometric limit of quasi-Fuchsian groups. Finally, it will be shown that we can
define end invariants for hyperbolic 3-manifolds appearing as geometric limits
of Kleinian surface groups, and that the homeomorphism type and the end
invariants determine the isometric type of a manifold, which is analogous to
the ending lamination theorem for the case of finitely generated Kleinian
groups.