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It's got many places worth visiting.

What `got' means here?
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It perfectly grammatical in British English.

The whole have got/have thing is one of the big American/British English dividers.
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The " 's " stands for "has"; "it has got" is perfectly grammatical, as Nona says.
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It's got is an informal and ungrammatical way of saying It has.
 nona the brit's reply was promoted to an answer.
 pieanne's reply was promoted to an answer.
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Thanks, Nona and Pieanne. Sorry.

I spent a lot of my childhood being told to say "it has" and never, never, never to say "it's got." I probably got corrected on that term more than on any other in the language. But my childhood was in the US.
Anyway, Gary - did you understand the answer? There are many places worth visiting there.