This work studies the mobility of people in the metropolitan city Grenoble in France, building a supply-demand based mobility model which captures the daily movement of people between residences and places of interests called destinations, using time schedules and gating profiles which also accommodate the possibility of imposing restrictions on mobility. The goal of this paper is to build the mobility network in Grenoble answering the three main questions (WWH): Where does mobility happen? When does it happen? How many people move? We provide methods to compute the time gating functions and different parameters for this network. Further, we identify and address the issues encountered during discretization of the continuous-time mobility model. As an application, we also study how different restrictions on the mobility effects the epidemic spread in Grenoble. Finally, we describe the online GTL-covid demonstrator which is being developed by implementing the results of this paper. It is an academic platform which can be used to simulate different scenarios of mobility and visualise its effect on epidemic spread in Grenoble area.