I am interested in framing a shed out of metal studs and would like to make sure it is structurally sound. I need to know how the roof should be constructed in order to support the snow load in my area (Utah)

Without the gauge of the metal, the dimensions of the stud and the pounds per foot of snow load in your area there is no way to answer your question properly. Metal framing comes in many gauges, from 25ga to as heavy as 14ga. It is also dimensional such as 1 5/8", 2 1/2", 3 5/8", all the way up to a 10". In STL, metal framing will not carry the snow loads, typically.

these studs if they are the one i am thinking about are not for support of any kind they are cosmetic buildings that use this kind of stud have iron for the support the studs are for hanging Sheetrock or some other kind of wall covering