
Sam D. answered 03/28/19
English Tutor (TOEFL, TESOL, ACT & SAT Prep, LSAT Prep)
English is full of quirks. "I'll show you to" is often replaced in modern slang/spoken vernacular English with "I'll take you to"/"I'll bring you to" etc. more and more. That being said, the expression "I'll show you to..." is still in common use Today. Aside from the example you provide, another circumstance might be:
At a hotel:
"I'll show you to your room" (I will direct you to the location of/bring you to your room)
At a restaurant:
"I'll show you to your table."
This is not to be confused with the expression "To show someone the door". If someone says that they wish to "Show you the door", then they are politely asking you to leave.