Question in the title.
When ETH hardforks, It is said that there will be 2 Hard Forks happening, which leads me to believe there will be ETH + ETH HF + ETH HF 2.
What will I get by owning 1 ETH, will I get one of each coin, and then have 3 coins total? Is this just like the BTC and BCH split?

When ETH forks, the other sides will die as far as I know. ETH ETC was a special situation, these ones are just general update so the other sides won't be kept alive.
Where did you get this conclusion or rather some observation? I haven't heard of Etherium Split other than the Etherium getting away from the original Etherium which eventually transformed into Etherium Classic. And ETC as well as ETH are still doing pretty good until now.