get has 68 distinct synonyms spread across 29 of its 37 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
enter or assume a certain state or condition
“He became annoyed when he heard the bad news”
go through (mental or physical states or experiences)
“get an idea”
communicate with a place or person; establish communication with, as if by telephone
“Bill called this number and he got Mary”
grasp with the mind or develop an understanding of
“did you catch that allusion?”
purchase
“What did you get at the toy store?”
leave immediately; used usually in the imperative form
“Scram!”
reach and board
“She got the bus just as it was leaving”
evoke an emotional response
“Brahms's `Requiem' gets me every time”
overcome or destroy
“The ice storm got my hibiscus”
take the first step or steps in carrying out an action
“We began working at dawn”
undergo (as of injuries and illnesses)
“She suffered a fracture in the accident”
a return on a shot that seemed impossible to reach and would normally have resulted in a point for the opponent
2 of the 37 recorded senses carry no synonym, antonym or related term, so they are not shown above. Every sense, with its definition and examples, is on the full entry for get.
Synonyms, antonyms and the broader and narrower relations for get come from Princeton University’s WordNet. Full sources and licences.