I have a Samsung notebook with a 14" 1366x768 resolution screen.I have found a replacement laptop site that sells Samsung 14" 1600x900 screen with the same connector type.
Can this be done?
Possibly, but you need to do more research. You need to determine not only if the connector type is compatible, but if the screen itself can be mounted in the laptop casing. Generally speaking I would only attempt to do this if the replacement screen came out the exact same model of laptop.
That being said, even if they are compatible, removing/replacing the screen can be difficult. LCD screens in laptops are compact and fragile, and can be particularly vulnerable to damage during installation and removal. On some laptops, the panel may be held in by screws, but sometimes the screens are glued into place.
I would strongly advise you to do the following: