t's just "to give". very straight forward. like English. 给我 (give me) 给他 (give him) 给我钱 (give me money) 给他钱 (give him money) 给他这个 (give him this) similar to English, there is a 2nd way to construct the phrase by adding the word 把 (let) 把钱给我 (give the money to me) 把书给我 (give the book to me) 把它给我 (give it to me) 把这个给他 (give this to him)

It's a transitive verb in Chinese and used quite often. Typically it means to give. Sometimes it can be used as doing something for somebody. Examples: 我给了她十美元。（I gave her 10 dollars.） 请把那瓶水递给我。（Please bring that bottle of water to me.） 我给你买了一张去美国的机票。（I bought you an air ticket to America.） 我最后问你一遍，给还是不给？（This is the last time I ask you. Give or not give?）

给not entirely “give”，like 给我等着，here给nothing in particular，给我two words just for emphasis，The meaning of this sentence is“wait for my revenge”

(moved my comment to the answer section)