Wasn't Hegel a contemporary of Goethe? What effect did both of them have on each other?
The two share much ideological agreement, like when both offered great praise for Schiller's Letters on the Aesthetic of Education of Man, but while Hegel generally quotes Goethe with veneration, Goethe seems generally suspicious of Hegel's philosophy -- in one meeting offering open criticism to Hegel about his dialectic, for example.
One work that goes into detail on both thinkers would be the late Walter Kaufmann's first volume of his trilogy Discovering the Mind, in which he offers an opinionated criticism of Kant and Hegel's obscurity and obfuscation by contrasting it with Goethe's thematic clarity.