  In this paper, we investigate the complex symmetric structure of generalized
weighted composition operators $D_{m,\psi,\varphi}$ on the weighted Hardy space
$H^2(\beta)$. We obtain explicit conditions for $ D_{m,\psi,\varphi}$ to be
complex symmetric with the conjugation $J_w$. Under the assumption that $
D_{m,\psi,\varphi}$ is $J_w$-symmetric, some sufficient and necessary
conditions for $D_{m,\psi,\varphi}$ to be Hermitian and normal are given.
