what is the nature of gaussian surface involved

The nature of the Gaussian surface involved in Gausss law of electrostatics is that it is a closed surface in 3D space through which the flux of a vector field is calculated. A Gaussian surface is an imaginary closed surface around a charge in a 3-dimensional space, and the total amount of flux is calculated by using this surface. The Gausss law in electrostatics gives a relation between electric flux through any closed hypothetical surface (called a Gaussian surface) and the charge enclosed by that surface. Therefore, the Gaussian surface is an essential concept in Gausss law of electrostatics, and it is used to calculate the electric flux through a closed surface.