The 26-year-old spent last season with Munster but only made 11 appearances due to an ankle injury that required surgery.
The 6ft 7in South African enjoyed a season with French Club Racing 92 in 2016-17 but will now have a chance to show what he can do in England's top division.
Having spent so much time on the sidelines during the campaign, Grobler is now eager to prove his worth in what he feels is one of the most competitive leagues in world rugby.
"It's a big competition to come and play in,' he said. "In South Africa, the English competition is the one that gets aired the most, and gets the most attention, and you get to mix it up with the world's best from all over.
"The English league gives a huge opportunity to learn, every game is close, a contest until the end. That's one thing that appeals to me, the opportunity to test yourself week in, week out."
And the former Western Province ace likes the look of the Kingsholm setup and wants to help bring success to the club.
"Gloucester are a club that are on the up, and I want to be part of something with the same ambitions and goals as me. I want to be part of something that is building, and spend my future here," he added.
"The thing that excites me about this move, is joining a team with big ambitions to improve, to be consistent and build something really successful with the squad."