The idea is to visualize by microscopy the arrival to the surface of the plasma membrane and to determine the time until the protein is endocyted again.
If you want to study your protein's trafficking to the surface, you may simply incubate your cells at 20C to block trafficking form the trans Golgi, then chase your protein upon shifting back to 37C, i.e. re-enabling outward trafficking.
You may refer to this review for approaches and techniques to measure re-internalisation Chapter Investigating Internalization and Intracellular Trafficking ...