No you do not. Only way that happens is if you owned BTC when the fork happened that split into BTC and BCH if you had any BTC in a wallet or exchange that supported it. Dont know if that was the case for BTG.
The only similarity currently between BTC, BCH and BTG now is that they are offshoots from BTC. And BCH a direct fork off BTC. Meaning they have some similar functionalitys.
As he writes, there is 1 more fork comming, so that then can give owners of BTC value in what that forks into if the exchange or wallet supports it.
But simply put; BTC and BCH is seperate crypto currencys just like BTC and ETH is.