Models consisting of an amine-terminated poly(amidoamine) (PAMAM) dendrimer with and without the presence of a linear poly(ethylene oxide) (PEO) chain were studied in aqueous solutions by means of fully atomistic molecular dynamics simulations. Dendrimers of two generations, 3rd and 4th and at different pH conditions were examined, in order to address issues associated with characteristics pertinent to the shape of the dendrimers in the presence or absence of PEO as well as to the volume fraction of the penetrating solvent molecules and counterions as compared to recent experimental studies. In addition, hydrogen-bonding characteristics such as the intensity and the longevity of intra- and intermolecular hydrogen-bonded pairs are examined for the first time in these systems. It was found that the volume fraction of the penetrating solvent molecules increased upon decrease of pH, but no dependence on the size of the molecules was observed. The density of the solvent within the dendritic interior did not exceed that of the bulk, while the corresponding number of counterions entering the dendrimer boundaries exhibited a marked increase between the 3rd and the 4th generation of the dendrimers. Intramolecular hydrogen bonding was favored at high pH conditions, while intermolecular hydrogen bonding between PAMAM and the solvent or the PEO was significantly enhanced upon protonation of the dendrimer's amines. The presence of PEO imparted appreciable changes in the dendrimer's shape particularly in the physiological pH conditions. In addition, it incurred a decrease in intramolecular hydrogen bonding and acted antagonistically to the formation of water/dendrimer hydrogen bonds. The higher degree of hydrogen bonding between PAMAM and PEO was observed at low pH levels, indicating that under these conditions the formed complexes are expected to be more stable. The findings of the present study were found to be in good agreement with the relevant experimental findings where available, thus assessing the role of several structural and conformational details in the manifested behavior and providing further insight of the effects of non-covalent complexation of PAMAM dendrimers with linear poly(ethylene oxide).