Can a familiar obtained by the Find Familiar spell be Awakened, giving it 10 INT and a language?
A familiar from Find Familiar can't be awakened.
The awaken spell needs to target a beast or plant:
you touch a Huge or smaller beast or plant
However, the familiar from find familiar is not considered a beast:
the familiar has the statistics of the chosen form, though it is a celestial, fey, or fiend (your choice) instead of a beast.
Therefore you can't use awaken on a familiar from find familiar.