Garden path sentence
A garden path sentence is a sentence which "leads its reader up the garden path", that is idiomatically, it "deceives" its reader into parsing the sentence in a particular way until a word is met that doesn’t parse, causing an apparent parse error. However, it is possible to parse the sentence in a different way, although this may not be apparent.
Linguists like inventing these for fun.
Their utility in ELT however probably could be questioned.