Kristen Stewart and Robert Pattinson became romantically involved when they were filming the Twilight saga movies. Kristen confirmed that she and Rob were dating in 2012. However, Kristen then went on to cheat on Rob and they are now no longer dating.
Yes, Kristen and Robert are dating. At first, Robert really liked Kristen but she was dating someone else. But once she split up with her former boyfriend, Robert and Kristen started dating. And they have been since late 2009, early 2010.