One thing you notice is that because there is no fiber or sugar (or carbs of any kind) in the diet, you end up basically never farting -- and the volume of your poop decreases by something like 80%.
You also hold a lot less water weight, your tolerance for alcohol decreases dramatically (although if you were strict about the diet you wouldn't be consuming alcohol anyway), you seem to have much less nasal congestion, and heartburn completely disappears. And your skin feels better.
I've looked into it, and this diet is nutritionally complete -- it is not lacking in any vitamins or minerals. Fresh meat even contains some vitamin C. You can eat some sardines from time to time for extra calcium.
On the whole I can't recommend this diet enough -- you end up in phenomenal shape.