Luke 5:27 Follow me.
Go with me.
Parallel of Matthew 9:9 and Mark 2:14. All use identical language. The context is an invitation to the tax collector "Levi" in Luke and "Matthew" in other Gospels, an interesting difference in the texts but very like Luke's preferences for using different terms than
The term "follow" means "to follow," or "go with," in a physical sense, but it is also a metaphor meaning "to be guided by" or "to follow the meaning of." The term also specifically means "to follow the thread" of a discourse.
The "me" is in the form of an indirect object, so it is not the object of "follow", which would be in a different form. The sense is that the person following does not act directly on the person they follow, but rather indirectly. The form has a number of uses in Greek. Most commonly it is an indirect object ("follow this road [the object] to Rome [the indirect object].