You need to declare G as global, but as for why: whenever you refer to a variable inside a function, if you set the variable anywhere in that function, Python assumes that it's a local variable. So if a local variable by that name doesn't exist at that point in the code, you'll get the UnboundLocalError. If you actually meant to refer to a global variable, as in your question, you need the global keyword to tell Python that's what you meant.
If you don't assign to the variable anywhere in the function, but only access its value, Python will use the global variable by that name if one exists. So you could do:
G = None
def foo():
    if G is None:
        print G
foo()
This code prints None and does not throw the UnboundLocalError.