this method is more accurate on meshes with higher mesh skewnesses. In most cases you should be using the Least-Squares Cell based methods however, which should be faster (and more accurate) than the Green-Gauss Node Based Gradient method, at least on static meshes, in the most cases.
If you have a dynamic mesh or "hanging nodes" in your mesh using the Green-Gauss Node Based Gradient method may be beneficial over the Least-Squared methods, at least of what I know of...
But Omer A. Alawi is right, if you do not know anything about these methods, search for the video on yt and draw your own conclusions.