So it only stores the difference between the two snapshots? ;)
You cannot look at a commit on its own and know exactly how it's different from the previous commit, but you do have the complete new state. You have to look at the parent commit's references and do an object-by-object comparison to identify exact changes. On the other hand, when you look at a diff, you can see exactly what has changed, but you cannot produce the version that came before without also having a complete copy of the current version.
Git allows for shallow clones, which would be impossible if the protocol or implementation were based solely around diffs.