You should be aware that there are various types of thermocouples, depending on the two metals that are combined in the tip. Some are called J type, the most common I think are the K type and there's other. See this page which gives more info about thermocouples:
http://www.omega.com/prodinfo/thermocouples.htmlbut basicallym each type outputs a slightly different voltage at a specific temperature, and the output voltage most often isn't linear, so for example if you get 10mV at 1c and 20 mV at 2c you can't say that you'll have 100mV at 10c
The opamp will just amplify the small voltage coming from the thermocouple but a basic opamp won't adjust the output voltage to keep in consideration the deviations in the thermocouple voltage.
There are specialized chips which contain an opamp and the brains to do those conversions automatically and give you a voltage that scales linearly with the temperature.
For example, AD594 or AD595:
http://www.analog.com/static/imported-files/data_sheets/AD594_595.pdf These output about 10mV per C, 0mV at 0C, 100mV at 10c and so on, so it makes it easy to output the temperature directly on something with minimal operations. Unfortunately these chips are a bit expensive, but there are similar such chips.