A little less than that, but yes, students get a stipend during the period when they're full-time university students (bachelors or masters, up to 6 years maximum). It's currently 2500 DKK (€350) for students who live with parents, and 5850 DKK (€780) for those who don't.

Some details: http://www.su.dk/English/Sider/agency.aspx