Magic’s plane of Zendikar is an adventure world, a “tumultuous plane of wild mana, unstable weather, and floating terrain” where characters have to fight powerful and dangerous monsters. WotC says that the plane’s creation has its roots in D&D in the first place, so much so that their book The Art of Magic: The Gathering - Zendikar already feels like a D&D campaign setting book. The only thing missing was rules.
So they have released Plane Shift: Zendikar as a bit of a supplement to that book. Inside Plane Shift: Zendikar, you’ll find rules for the different playable races in the setting. You’ll need to take those races and combine them with the already existing 5th edition D&D character classes to create your character. The supplement also contains stats and rules for the different monsters a party would encounter.
While the world of D&D doesn’t involve five different types of mana, the creators say the idea was not to built an exact replica of Magic, but instead make it possible to play around in the world of Magic.
Also, the book The Art of Magic: The Gathering - Zendikar will help you create a D&D campaign, but it’s not a necessity. If you’d rather, you can just read about the lore about Zendikar available for free on their website. You can download the Plane Shift Zendikar supplement here.