Yes, It will burn DVDs including dual layer.
Reads DVD: Yes
CD-Write: -R, -RW
DVD-Write: -R, -R DL, -RW, +R, +R DL, +RW
Write Strategies: CD-TAO, CD-SAO, CD-Raw, DVD-DAO
Media: To show the available burn speeds, insert a disc and choose View > Refresh
You can verify this on your machine by clicking the apple logo on the menu bar and selecting "about this Mac". On the next screen select "more info" tab.
On the new screen look at the left column under hardware and select "disc Burning" This will show all your drives capabilities.
Hope that Helps...