Periodical driving often leads to nontrivial steady states. In the context of open systems, such states may have nonvanishing currents. In this work, we experimentally study the time-discrete open system dynamics of a two-level system where the system-environment coupling is varied periodically. The two-level system is decoded on the transverse polarization and its environment on the frequency degrees of freedom of a single photon. The dynamics is implemented using linear optics. We find that the periodic driving leads to nonvanishing bidirectional information flow between the open system and the environment. We develop a comprehensive theoretical model which explains the experimental findings.