A bit of googling will show you this has been asked and answered endlessly in so many websites, none better than this answer
The answer is TAUTONYMS which is considered to be any word or term made from two identical parts or syllables.
The teacher hate me... because tautonyms are no longer allowed in botany
the cow like me... Bison bison is tautonym for American Bison
Gold also like me.. Gold is a software game providing tautonyms puzzles.
Monkey want to eat me...Ziziphus zizyphus is tautonym for jujube, a fruit-flavored, usually chewy candy or lozenge, liked by monkey