If he granted a stay it is not in the order and this from the LA Times appears to indicate otherwise:
Proponents of Proposition 8 had asked Walker to block enforcement of his ruling immediately, but Walker declined. The proponents of the ballot measure said they would immediately appeal.
Walker could still put the ruling on hold pending appeal after hearing more arguments, but his ruling Wednesday directed city and state officials to stop enforcing the marriage ban.
Link. Possibly it was a separate order.