We monitor nothing, and we do not keep track of our users. Like most of the apps and sites do, we too use analytic libraries, but we do that only to get an estimation of the number of users who are using this app.
If you use the GPS to find your location, the GPS will remain on for as long as you use the iTopography app. The longitude / latitude of each point is stored in a local DB. If you delete the project, all data related to that project are deleted too.