No, the Gauss quadrature points are used for integration purposes. Gauss quadrature is an integration technique such as Simpson's rule. You can watch the video on "integration methods in FEA" for full explanation (ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-NM08KmlaJ9w.html)