In this paper we report on the graphene growth via chemical vapor deposition (CVD) for Oxygen Reduction Reaction Reaction (ORR) and Oxygen Evolution Reaction (OER) applications. Graphene growth is carried out by the flow of methane and hydrogen gasses over various thickness cooper substrates cleaned by different methods (acetone and acetic acid). Characterization is performed with optical microscopy (SEM/EDS) and Raman/AFM spectroscopy. Results show noticeable differences in Raman signals and optical color contrast regarding the number and quality of layers of graphene and graphite, as well as distinctions between single-to-few- and multi-layer graphene, respectively. The graphene layers were delaminated using electrochemical procedure utilizing potentials below the threshold of hydrogen production, in order to avoid the formation of hydrogen bubbles resulting in the degradation of its conductivity. The electrochemical behavior of CVD growth graphene is studied by cycling voltammetry in acid and alkaline media on rotating disk electrode (RDE). The catalytic activity towards the OER was determined from Tafel plots obtained from galvanostatic current-voltage measurements.