Windows automatically detects the display and sets the screen resolution accordingly. The drivers for the display controls the resolution available, not the video card. Displays are available at different number of pixels, i.e., resolution. As I stated earlier, it should work. I changed my flat panel to a larger higher resolution on my HP desktop and windows, (plug-and-play) detected it, downloaded the appropriate drivers and set the screen resolution, (which is at recommended settings 1600x900, the highest available setting). Didn't touch the video card. If you're not sure how to change/replace the display of your laptop, Google will most likely provide a choice to a YouTube video. I have a Compaq cq56-219wm and YouTube has at least one video that details total disassembly and reassembly. One of the issues you will have is disconnecting the power, etc. from the motherboard, that usually requires some disassembly. On most laptops the bezel around the display can be removed by inserting a sharp instrument in the crack around the edge of the top and carefully prying it apart. There are several plastic fasteners around the circumference. Google and watch a few videos to get comfortable with the process. I had to disassemble quite a bit of my laptop to access the appropriate connections. When you remove the screws from the bottom of the laptop, be careful moving the display on the hinges, it's very easy to break the plastic base/mount area where the hinges attach to the base. I've replaced the base case to many laptops that have been damaged by others not being aware of the problem. The base/case is designed to be stronger, more supportive of the top/display when completely assembled.
When I had all my screws removed from the bottom of the laptop, I raise the screen very carefully trying to hold the area where the hinges meet the base and prop it against something solid, such as the back of a workbench (which is what I do) or similar. If you look at both sides of the area where the hinges attach the base, you will see if there is an area where stress will easily crack it, on my CQ it's the left side that is extremely weak and cracks between the cooling fan vent and the back of the case/bottom. That's the side I squeeze with my fingers when opening the top. Usually a 90 degree or slightly greater angle is sufficient to have clearance to be able to remove the base cover, the keyboard, and you should then have access to the connections you need to access.