  In this paper, we investigate homogeneous Riemannian geometry on real flag
manifolds of the split real form of $\mathfrak{g}_2$. We characterize the
metrics that are invariant under the action of a maximal compact subgroup of
$G_2.$ Our exploration encompasses the analysis of g.o. metrics and
equigeodesics on the $\mathfrak{g}_2$-type flag manifolds. Additionally, we
explore the Ricci flow for the case where the isotropy representation has no
equivalent summands, employing techniques from the qualitative theory of
dynamical systems.
