The influence of differently treated graphene on human osteoblasts after 2 h of incubation with regard to the presence/absence of fetal bovine serum (FBS) was investigated. Cell adhesion plays an important role in further cell fate and it is influenced by cell surrounding. It was found that treatment of graphene (by hydrogen or oxygen) does not play role in number of cells which adhere to substrate after 2 h of incubation. However, it is important for cell size – cells are larger on the hydrogen treated graphene than on the oxygen treated graphene. The presence of FBS is crucial for a type of interaction between cells and their substrate – in the presence of FBS, interactions are mediated by specific proteins and thus formation of focal adhesions (FAs) can occur. However, in the absence of FBS, a contact is carried out by non-specific bonds without FAs formation. It was observed that cells on graphene samples without FBS have star-like shape and larger area in contrast to cells adhering with FBS which have round shape and are smaller.