Wendy welcome to the forums! Generally speaking Desktop is for authoring/creating and Server is for publishing/sharing. While Server has a limited authoring capability (recently introduced) it is, well limited. I don't know of a list that compare the two, but the best way to figure it out is to try to do something in Desktop, if it pops up a dialog box of any kind, then that capability won't be available in the Server authoring environment.
Makes sense, thanks. I figured the ability to edit while on Server was limited.