Turns represent about half a month.
Overall, EofID offers a decent simulation of this period. The game also offers the Western Allies a choice of invasion beaches rather than just restricting the player to the Normandy area. The rules and map are also marred by several typos. Mostly these do not prevent the game from being played, but does increase the frustration level. I don't know if there is any definitive errata for this game, but it is needed.