Chosen Solution

The cable connecting the board to the screen broke some how and i was looking at how to replace that cable and it looks like a hassle. Due to the fact that i practically have to take apart the whole screen. I wanted to know if i just buy a new screen does it come with that cable so i can unplug the old screen and just swap it with a new one and just connect it??

Yes, the display assembly does come with the LDVS cable. But it’s pricey: MacBook Pro 13" Unibody (Mid 2009-Mid 2010) Display Assembly