For wedding functions, are "tele photography" and "candid photography" the same?
If not, what are all the similarities and dissimilarities?
You are comparing apples and oranges here.
A candid photograph is a photograph captured through motion mostly, without creating a posed appearance.
a telephoto lens is a specific type of a long-focus lens in which the physical length of the lens is shorter than the focal length.
The subjects of the photo (in your case, a wedding) is yet another totally unrelated variable in the equation.
You can combine any of the three (or their opposites) in every possible way.
- staged photos of a wedding with wide angle lens
- candid photo of a landscape (not a wedding) with a tele photo lens
There are 8 possible combinations, each one yielding infinite possibilities for photos.