Gauss’s law is defined and valid only for a closed surface.
True
Gauss’s law relates flux of Electric field due to charges to the algebraic sum of charges enclosed by any closed surface. Therefore the primary requirement for the Gauss’s law to be applicable is that the surface chosen is to be considered a closed Gaussian surface.
Note: Gaussian surface has nothing to do with equipotential or any other surfaces. Any closed surface can be assumed to be a Gaussian surface.