As you heat an object it glows with a different color.
First infrared, then red (ie red-hot) then white then blue
Color temperature is a measure of how hot a glowing object (like the sun or a light bulb) would be to give the same color.
The sun is around 6600 deg, so to get the same blue-white light from an artificial source you need to heat the lamp to the same temperature (or mix red and blue light in the correct proportions). Regular light bulbs are much cooler, around 2500 deg so look much redder on photographs.
The temperature is measured in kelvin (K) which are like deg C - except they are no negative values. 0C is 273K and 100C is 373K so at the temperatures of lights you can think of it as deg C.