What is the word groovy mean?

It means cool or awesome.

Another answer: Vinyl records had a groove in them that was played by a needle. The sixties was the decade in which youth and music became big issues. 'In the groove,' derived from placing the needle into the groovy of the latest popular record, referred to something that was up to date and 'trendy,' 'with it' and 'all the rage.' In time in the groove was shorted to groovy, which meant that something was good, approved of or fashionable.