Here's a short quote from the Abaqus documentation: Abaqus uses numerical integration to calculate the stresses and strains independently at each section point (integration point) through the thickness of the shell.
By default, there are 5 section points so not only in the middle and at outer surfaces but also between these three locations. And there can be more if needed for some specific nonlinear cases. For linear analyses, 3 should be enough.
The same nomenclature is used for beam elements, by the way.
A mesh sensitivity study is usually performed by just increasing the number of elements, there's rarely a need to increase the number of section points as well.