  We study the asymptotic edge statistics of the Gaussian $\beta$-ensemble, a
collection of $n$ particles, as the inverse temperature $\beta$ tends to zero
as $n$ tends to infinity. In a certain decay regime of $\beta$, the associated
extreme point process is proved to converge in distribution to a Poisson point
process as $n\to +\infty$. We also extend a well known result on Poisson limit
for Gaussian extremes by showing the existence of an edge regime that we did
not find in the literature.
