Resolution is used to refer to the number of pixels on the screen(s). LCD screens are divided into millions of little squares, each of which has a red, green and a blue element (sub-pixels). Each pixel lights up the R, G and B elements at different intensities to generate different colors. SO you can call each pixel a dot of a different color (several million total colors can be made).
You see two numbers given as the "resolution." The first tells the number of pixels across and the second the number of pixels high (you can also multiply them to get a total number of pixels, which is how cameras tend to be rated. A "megapixel" means 1 million total pixels).
That's separate from the physical size of the screen, which is measured in inches diagonally from corner to corner. As to quality, there are many other factors which go into that, so I can't say just by knowing the resolution.