Did Edward Albee win a Pulitzer Prize for 'Who's Afraid of Virginia Wolf'?

No, surprisingly. Edward Albee won three Pulitzer Prizes in Drama for A Delicate Balance (1965); Seascape (1975); and Three Tall Women (1994); and was a finalist on at least two other occasions for The Play About the Baby (2001) and The Goat or Who is Sylvia? (2003).