While the exact phrase "give me a paper" isn't the primary dialogue hook (it's usually "I have a note for you!"), the "paper" in this episode is the SpongeBob wrote. When Mrs. Puff eventually reads it at the end of the episode, it simply says:
: Mrs. Puff attempts to flee from SpongeBob, but her boat crashes through the front of the Krusty Krab. [S7E28] summer job
: Before the crash, SpongeBob tries to hand her a note which he later insists she reads while they are working together. "Give Me a Paper" Reference While the exact phrase "give me a paper"