Hydrostatic pressure is pressure exerted by a fluid at equilibrium at a given point within the fluid, due to the force of gravity. Hydrostatic pressure increases in proportion to depth measured from the surface because of the increasing weight of fluid exerting downward force from above. The pression is given by:
As we can see the pressure depends on the density, the force of gravity and the depth. The water of the small pond probably will have the same density of the water of the huge lake, the gravity force is almost the same at any point of the earth and the depth is the same since for both is 1m below the surface. Therefore, we can conclude the pressure is the same for both cases.