Congratulations! You've made it to the end. All that's left is some cleaning and a final inspection of the work you've had done.
Cabinetry
Door and drawer fronts are lined up
As the new cabinetry settles, its not uncommon for the door and drawer fronts to shift. Most new cabinetry has adjustable hinges. The installer should show you how to adjust them while he's installing.
New homes are more likely to show this shifting over time, because the whole house is settling.
Door and drawer hardware works properly
Check for nicks and scratches
Anything that doesn't seem quite right
Plumbing and electrical
All facets work
All appliances work
Ventilation works
All outlets work
Countertop
Seams are inconspicuous
Tight to cabinetry
Check for scratches
Flooring
Seams are inconspicuous
Tiles are even
Check for damaged areas
If you find things that need repair, contact the tradesmen responsible and set up a time for the repair. Usually, the installer does a thorough inspection before leaving. If possible, be at the house for this and bring up any concerns right away.