I got this(http://www.electronickits.com/kit/complete/radi/ck302.htm) AM/FM Radio Kit, my question is:
I would like to read the frequency from this kit, and somehow using an arduino, show the frequency(radio station) in a LCD.
Where do I begin ?
Sorry you can't do this with this kit. It is not a project for a beginner.
If you had some more knowledge you could make a digital frequency counter to measure the frequency of the FM local oscillator. Then you would have to read that into the Arduino as a digital number. This is the bit that is probable beyond you as it involves quite a bit of electronics to work up at those high frequencies.
Then you have to add (or subtract depending on the radio's design) the frequency of the first IF and display the resulting number on an LCD controlled by the Arduino.