Check out this site.
http://motherboards.specout.com/l/3507/GIGABYTE-GA-H81M-S1
SCrool down to the "Onboard interfaces section".
The motherboard does indeed have embedded graphics, but only has a D-Sub connector.
This is a low end board and I wouldn't expect the graphics to be that good, thoughh it does say it supports up to 19200x1200 resolution
It Has Which Integerated Graphics