Yes, it's just one extra move and as stated above, you can move onto a hill or forest and start working it the same turn. I honestly thought this wasn't worth it as a UU until I played India once. It is quite nice. And the other thing, it's a UU that keeps working for you the whole game. The other military based UU are only good for a certain period of time and then they are obsolete. The extra move becomes obsolete in a way after rails but they help again get your improvements up and running faster if they've been pillaged so it still has it's use, even in the modern era.
I wouldn't choose Inida just for the Fast Worker over say a Cossack and the Russians but then I rarely play to get a certain UU anyway. Whatever UU comes along with the civ is fine by me.