When I light my human model in OpenGL using face normals it is very apparent where each face is on the model. The lighting becomes considerably smoother using vertex normals but still noticeable. Is there any technique available to smooth organic models without adding additional vertices (ex. subdivisions)?
If you are seeing single faces with per vertex normals you might have forgotten to enable smooth facing:
glShadeModel(GL_SMOOTH);
If that's not helping make sure all vertices with the same position also have the same normal. This should be done by blender automatically however. It's also possible that your model has just too few polygons. If that's the case you either have to use more polygons or do what basszero said. Create a normal map and use that together with a GLSL shader.