If you install the source control client on your build machine then you should be able to detect source control changes.
Continuous integration features are coming in the next major version of FinalBuilder. In the meantime, CI can be achieved using the open source CruiseControl.Net (which comes with builtin FinalBuilder support.)
Alternatively, a while ago (FB 4 era) I blogged about a technique for using the File Dependency action to create a continuous integration project in FinalBuilder: https://www.finalbuilder.com/blogs.aspx?EntryID=167