What's the meaning of "..get someone laid on.." ?
From the book A Salty Piece of Land", Jimmy Buffet. The complete sentence is: "He signed him to a long-term contract, got his teeth capped, paid him a weekly salary, and got him laid on a regular basis."

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Answer

Getting laid = to have sex.

It probably means that he hooked him up with girls on a regular basis.

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got him laid = helped him to get sex
on a regular basis = regularly

Sounds like a nice job.

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"... and got him laid on a regular basis"
To get 'laid' - To have intercourse or sex with.
"To get laid" is an idiom, which means when you try to make sense of each individual word, the sentence as a whole makes no sense because you need to know what it means before actually reading it.

Other examples may include:
"Let the cat out of the bag" (to tell a secret)
"A few kangaroos loose in the top paddock" (when used at a person, it means that person is stupid or idiotic)
"Shooting through as fast as a Bondi Tram" (means to go through something very quickly)

The bottom two idioms I have listed are Australian, and hence people that do not natively speak Australian English will likely have no idea what I am talking about.