This image is of Hoyt Hall, a women’s dormitory on the campus of the University of Wyoming in Laramie.
There is no caption on the back of this card. The inscription at the bottom states:
Hoyt Hall – Women’s Dormitory, University of Wyoming at Laramie / Sanborn Y-2266
Hoyt Hall still exists in its original form on campus, though it is used for a different purpose now. The link above has a list of historic locations on the University campus, Hoyt Hall is item #4.