The natural abundance carbon-13 NMR spin-lattice relaxation times, T-1, and spin-spin relaxation times, T-2, of different carbons in the model liquid lubricant 2-ethylhexyl benzoate (EHB) confined to porous silica glasses prepared by the sol-gel process are measured as a function of pore size in the range of pore radii from 21 to 80 Angstrom at 294 K. In agreement with our earlier results for other polar liquids we find that the two-state fast-exchange model is valid for the C-13 spin-relaxation data for liquid EHB; i.e., the 1/T-1 rates scale as 1/R with the pore radius, R. The analysis of the 1/T-1 data for each carbon in confined EHB in terms of the two-state fast-exchange model allows us to calculate the relaxation rates 1/T-1S for each carbon of the EHB liquid in the surface layer. The comparison of 1/T-1S for each carbon with the 1/T-1 values for individual carbons in bulk EHB provides information on motional dynamics of EHB at the liquid/surface interface. The experimental C-13 spin-spin relaxation rates 1/T-2 obey the quadratic power law 1/R(2) for confined EHB, confirming that at low frequency the pure geometric confinement effects dominate over surface interaction effects. Additional information on the EHB surface interactions is obtained by carrying out the NMR experiments with surface-modified silica glasses.