They are actually real and being traded on Digifinex  
https://coinmarketcap.com/currencies/boogle/markets/

The domain has been around since 1999 according to whois, that's two years after google was registered. I can't find any article that says Google sued Boogle since 1999 so I guess it was legal.

I bet Boogle was purchased or someone partnered with the original owner to turn it into another Brave/BAT project.