Has there ever been proof given to show that the Book of Genesis is really a historical book rather than just a book of stories?
I suppose the original poster meant the Bible, rather than just Genesis. Genesis is only the first book of the Bible/Torah. Other books in the Bible have references that have been corroborated a bit with archeological findings. Mostly coins and other hard objects referring to kings and other notables as having an actual existence. Other than that, there have been no discoveries that confirm the actual events of the Bible.
Genesis has a little bit of corroboration. Not proof of its historical accuracy, but some similarities between it and texts from other cultures have come up.
For instance, certain details from Genesis appear to have been taken from the Epic of Gilgamesh, a piece of Sumerian literature. (Or vice versa, but that's less likely given that the earliest known version of the former is a millenium younger than the latter)
There are also a large number of flood myths in various cultures that bear some notable similarities to the one found in genesis.
But these details don't prove its historical accuracy. If anything, they suggest the reverse, that its base is a collection of oral folktales shared by many cultures by a tribe of nomads.
Some later books in the bible do have some verified historical accuracy. Several of the battles described for instance did in fact happen.
The new testament probably has the greatest amount of both proof and disproof of its historical accuracy. Many events described there did happen. Many events described there could not possibly have happened. (Hint for an example: King Herod was dead before a certain important birth).