No, what they’re talking about would be “const Thing*”, and not “Thing* const”.
If you see “Thing* const”, it just means that the pointer is a constant, not the object itself. So from a caller’s perspective, this is irrelevent, but in the implementation of the method, I like to keep everything const where possible. (In practice, this probably has very little usefulness…)
Not so sure about the Google thing… since in this context, they are referring to “const pointer” as an alternative to a reference, I am inclined to think that they mean “Thing* const”: