The "meaning" of a name in this context is its etymology, which is the history of its origin.
This site says that
Pepe is a Spanish diminutive of
Joseph. That's its origin. So the "meaning" of
Pepe is "Spanish diminutive of
Joseph." The only "meaning" beyond that would be to trace it back to the Hebrew origin of
Joseph.
The Latin form of
Joseph is
Josephus or
Iosephus.