Roughly speaking, pointwise convergence means the functions f_n converge to a function f in the obvious way, and uniform convergence means the f_n converge to f with all points in the domain converging at "the same speed". For a precise definition see any book on basic analysis (which you should read before taking the Mathematics GRE).
In this case, the f_n converge pointwise to
f(x) = 0 if x is not 1
f(1) = 1/2
This is not continuous, and there is a theorem that then implies that this cannot be uniform convergence. Again, see any book on basic analysis.