If that's the path you want to try then you'll need a lot of parts, some being;
- power supply module or board
- main logic board
- auxilliary electronics and logic boards
- audio system (if any)
- chassis and EM cages/shielding parts
- exterior plastics
- misc hardware: fasteners, bus blocks, wires, internal and external connectors, etc
- service manual and schematics (sometimes unavailable or very expensive)
It would be an involved project and likely require some soldering and some metalwork and lots of connector-making. You also wouldn't have the same diagnostic and calibration tools used at the factory. You might suffer from problems caused by firmware incompatibilities. Without having another identical unit working nearby you wouldn't be able to know what many parameters or test values should be.
Shopping for a monitor with a broken panel and a compatible replacement panel is a much more viable option. Sometimes the cost of both purchases is lower than a new monitor; the owner of the dead monitor just can't/won't do the repair himself. You'd have to consider all shipping costs, taxes, duties, etc in the final prices.
The particular panel you've found (like many others) might be compatible with all the monitors/televisions within a family, or even with several different families carried across multiple brands. You'd have to research, sometimes the panel vendors have already done so and advertise which units each panel can be used in.
Final notes ... LCD panels are big business; most panel makers and vendors comply with a voluntary quality-grading system (rated from A+ to F, look it up for specifics). Panel manufacturing is sort of like processor manufacturing, low yields on perfect parts, always some number of parts with flaws of varying degree. Chances are you can find any number of panel suppliers or even buy particular pieces from Asian trading companies. I've done it myself many times with small (PDA/phone) panels; these guys spam their contact info all over related forums and eBay so you'll probably find them listed at monitor forums. You'll often need to pay a small premium to ensure a panel is a higher grade (fewer imperfections or defects); be sure to clarify your quality grade (if none is specified you'll get shipped the lowest grade working part in stock, typically C+/C/C-); the price difference for a new A+ part (brightest backlight, best colour and clarity, no swim/blur/haze/noise, fewest bad pixels, etc) should be about around +10-15% in single-piece volume; buying C-graded parts isn't worth saving a few bucks (you'll stare at your display a lot and hate it), and D-graded parts don't work (by definition) regardless of cost savings (they're only commodities to LCD repair/refurb companies). Incidentally, refurb units comply with the same grading system, they're perfectly fine (sometimes even better than new) and tend to cost less.
A point of interest is that most OEMs use C-grade (or sometimes B-grade) displays in their laptops/etc because the premium for A-grades becomes a real price hit when ordering high volumes (that's why all OEMs implement crappy dead-pixel policies; they are able to offer better panel grades at the same price only once the process for making the particular panel type matures and greater yields are consistently available). Sort of like an OEM who would order a 10K volume of i7 parts which all have to perform at 5GHz ... it can be done but only at staggering cost so most OEMs will accept any i7 they can get (and, in this example, traders would select and grade the i7 parts so they could charge a premium for the best ones ... maybe RAM or GPU parts would serve as better examples). So replacing your own panel will usually be the only way to get the best display unless you order an extremely expensive machine from a company like XoticPC (which claims to use only A+ panels).
Finally, beware that some LCDs are just the bare panel, some are the panel+electrical grid (with or without backlight), some are complete modules or subassemblies with touchscreens or whatever ... you need to be certain you buy the correct part for your monitor project.