Just those two chords. Spot on.

There's a switch from C to Em and F to G around the middle part.

It sounds great but in this part of the song....
"the grocery list reads milk and eggs
paper towels and longer legs
broader hips and softer lips and
smooth, smooth, smooth, and smoother skin

the grocery list reads truth untold
high heels and hair of marigold
margarine and estrogen and
smooth, smooth, smooth, and smoother skin

one loaf of bread, and don't forget the lightbulbs
these things i wish i was made of
milk and eggs and paper towels and pop-tarts "

The chords change from just "C, Em" to "C,Em,F,G"