Let $X\in L^1(\Omega,\mathcal F,\mathbb P)$. If $\mathcal G=\{\varnothing,\Omega\}$, then
\begin{align*}
\mathbb E[X\mid\mathcal G]=\mathbb E[X]
\end{align*}
$\mathbb P$-a.e. If $X$ is $\mathcal G$-measurable, then
\begin{align*}
\mathbb E[X\mid\mathcal G]=X
\end{align*}
$\mathbb P$-a.e.