  The effects of Poissonian resetting at a constant rate $r$ on the reaction
time between a Brownian particle and a stochastically gated target are studied.
The target switches between a reactive state and a non-reactive one. We
calculate the mean time at which the particle subject to resetting hits the
target for the first time, while the latter is in the reactive state. The
search time is minimum at a resetting rate that depends on the target
transition rates. When the target relaxation rate is much larger than both the
resetting rate and the inverse diffusion time, the system becomes equivalent to
a partially absorbing boundary problem. In other cases, however, the optimal
resetting rate can be a non-monotonic function of the target rates, a feature
not observed in partial absorption.
  We compute the relative fluctuations of the first hitting time around its
mean and compare our results with the ungated case. The usual universal
behavior of these fluctuations for resetting processes at their optimum breaks
down due to the target internal dynamics.
