The conjugate acid to the Brønsted-Lowry base $\ce{OH−}$ is $\ce{H2O}$, just added a proton to $\ce{OH−}$.
$$\ce{B(aq) + H+(aq) <=> BH+(aq)}$$
$$\ce{OH-(aq) + H+(aq) <=> H2O(l)}$$
where $\ce{B} = \ce{OH-}$
OTOH, $\ce{H2O}$ is also the conjugate base to $\ce{H3O+}$.
$\ce{Na+}$ in water,$\ce{Na+(aq)}$ is an extremelyextremely weak Lewis acid, but it reacts. But in a gaseous phase, as a naked ion, it reacts with Lewis base $\ce{Cl-}$, forming an ionic pair $\ce{Na+Cl-}$.
$\ce{Na+}$ could be formally considered as a conjugate Arrhenius acid to $\ce{NaOH}$, but I am not sure if the concept of conjugate pairs is ever used in the Arrhenius theory.