The \({\mathcal {J}}\) -symmetric \(C_{0}\) -semigroups of weighted composition operators on McCarthy-Bergman spaces of Dirichlet series are completely characterized in this paper. As applications, we calculate the point spectrum of infinitesimal generators for the \({\mathcal {J}}\) -symmetric \(C_{0}\) -semigroups and their dual semigroups. Moreover, we prove that such \({\mathcal {J}}\) -symmetric \(C_{0}\) -semigroups are not hypercyclic. In addition, we further study the commutants of \({\mathcal {J}}\) -symmetric weighted composition operators.
