Its been forever since I have seen a species to uplift but from what I remember, you need to do a handful of things.
1: Have the Uplift technology
2: The species must be within your borders (this may require you to build a frontier outpost in the area to put them in your borders)
3: Go to demographics and find the species and uplift them as if you were genetically engineering them...memory is definitely foggiest on this step
4: I believe you then have to your special projects screen and select the uplift project which will tie up your social sciences for a while until the project is complete.