Tell me... what graphics do you have?
Even modern notebooks often completely neglect graphics.
If you go into your start menu search and bring up system information -> components -> display, share the name fields with us.
If you see intel anywhere on the 'display' page, then try creating a dominions shortcut like this:
Code:
"C:\Games\Dominions 3\dom3.exe" --noglext
with things changed to match your actual installation directory (most likely C:\Program Files\Illwinter\Dominions 3 - though I'm not certain as I NEVER use default install paths).