Now, I'm guessing since I can't find it anywhere that they don't, but do familiars gain skill points as they advance?
This states that the familiar can have ranks in a skill, though I've seen no actual circumstance where that is the case.
Seeing as how familiars are intelligent and are advancing, I'd assume they're learning something along the way. I'm probably wrong though.
SRD said:Skills: For each skill in which either the master or the familiar has ranks, use either the normal skill ranks for an animal of that type or the master’s skill ranks, whichever are better. In either case, the familiar uses its own ability modifiers. Regardless of a familiar’s total skill modifiers, some skills may remain beyond the familiar’s ability to use.
This states that the familiar can have ranks in a skill, though I've seen no actual circumstance where that is the case.
Seeing as how familiars are intelligent and are advancing, I'd assume they're learning something along the way. I'm probably wrong though.