I think of freshman general chemistry as p-chem without the heavy math. Most of the important concepts in gen chem (electronic structure of atoms and molecules, atomic and molecular orbitals, molecular geometry, thermodynamics and equilibrium, kinetics, etc) are covered later in much greater quantitative detail in later physical chemistry courses.
In fact, at my undergraduate institution most (if not all) of the professors who taught general chem were physical chemists. Also, back when I was an undergrad, I took the honors versions of general chem which ended up basically being watered down versions of quantum and stat mech (which was very useful for my later p-chem coursework).