Do familiars gain more feats?

[MannyGoblin]

As their master levels up? Been wondering about this.

[nicholas storm]

no

[Gisher]

There is sort of an exception with the Familiar for an Eldritch Guardian Fighter which can use Combat Feats gained by the Fighter.

[Samasboy1]

Certain classes can grant their familiars feats, but normal advancement doesn't provide more feats to the familiar.

Their actual HD do not change. Just their HP, and their effective HD for the purpose of effects based on HD (like the Sleep spell).