one way is to translate the green into white
convert green.jpg -fuzz XX -fill white -opaque green1 white.jpg
you need to know the exact or near green color components as rgb values or color name or hexcolor
see color definitions at
http://imagemagick.org/script/color.php
the -fuzz XX where XX is some percent say 40% allows other colors near green to be converted to white.
You can also try floodfilling:
convert green.jpg -fill white -fuzz 40% -floodfill +0+0 "rgb(0,255,2)" green_white40.jpg
Alternately, you may need to use some masking technique to extract the face from the green background and then composite it back onto a white background.