I've stayed there twice and liked it a lot. On our first stay we rented a car but on our second we didn't and rather opted to stay at the property the whole week. I found the drive to be exhausting because of left-side traffic and after a particularly long flight. If you want to explore the island, a taxi is a far better and still economic choice.
For those of you looking for more, there is a recent and very thorough review of the St. Regis Mauritius over at P&P:
https://www.passportandpalmtree.com/...-hotel-review/