Indeed, there is little similarity btwn. gen chem and organic chem. General chemistry seeks to provide an introduction to inorganic chemistry as well as physical chemistry. The first difference, general chemistry is very math oriented, whereas there are relatively very little calculations in organic chemistry. Secondly, general chemistry focuses on such things as electron orbitals (this is important in OC, but not in the same manner as GC). Third, GC, when it focuses on chemical structures, focuses on a few, well defined formations, whereas organic has a far less defined structural system. Additionally, OC focuses on only a few elements, whereas GC requires familiarity with many more. Organic chemistry is highly focused on nomenclature, whereas there was much less of this in GC. OC is IMHO more conceptual with many "pictures" while GC is more concrete, relying heavily on mathmatecal forumlas.
I could go on forever, but this should give you an idea.