It really depends on how blue he is - From my knowledge, no EE has a completely, strictly blue egg/egg gene. There's some sort of brown gene in there, making it some sort of aqua-green type color. Now, with this said - I believe your offspring should lay dark green or olive colored eggs, depending on the "brown" of the hen's egg laid. I'm also incubating some eggs from an EE roo X brown egg layer, but I have absolutely no guarantee on what genes the EE rooster carries. For all I know, it is just brown. . .
Oh, and with genetics - It goes :
green X brown = brown layer or green layer
blue-green X brown = green layer
blue X brown = greenish blue layer
blue / green X dark brown = rich olive layer
Now when I say green it could be an olive tint too - I believe it depends on how much brown the blue-gene carrier has, and how dark of brown the other has. (example, dark egg layers offer the best Olive Eggers because of their rich dark red in th egg)