Organic materials can be used to ensure sustainable electrical energy storage, thus avoiding the use of inorganic materials that are inherently non-renewable and associated with large energy consumptions in their mining and refining. One category of organic energy storage materials consists of conducting redox polymers (CRPs). They include a conducting polymer backbone (CP), a redox active pendant group (PG), and a linker attaching the PG to the CP. The present work involves the CP poly(3,4-ethylenedioxythiophene) (PEDOT) and a quinone PG in acidic water solution. Quinones constitute an attractive class of molecules as they show reversible redox chemistry in several electrolyte systems, possess a high charge storage capacity and are naturally occurring e.g. in the electron transport chains in respiration and in photosynthesis. The CRP studied is characterized by cyclic voltammetry as well as by EQCM, in-situ conductance, and in-situ spectroscopic methods. In this work we present the formal potential of the quinone, the rate constant for electron transport in the polymer, mass changes during electrochemical redox conversion in different potential regions, and conductance data providing support for a CP-mediated electron transport through the material. Based on the results the electron and ion transport during electrochemical redox conversion will be discussed.