This I had create a comunication between 2 or more boards, using I2C, ISP, or ESP. I decided to use I2C to link my light sensor board and the LCD screen board.
Since I didn't know neither what I2C was, I read the 17th chapter of Make: AVR programming.
  
   
  
  It explained in avery clear way the theory, how it worked and what I had to do. 
  In order to do it, I checked the Arduino's Wire library. 
I tried to program it in avr c during the past weeks, but it was too hard for me since I had no background
in programming.

In this page everything is explained pretty well. The connection I was looking for was
a master-slave one, where
the light sensor board is the master/reader, and the LCD screen is the slave/sender.

Since this assignment was way more hard then I thought, I decided to use a Arduino board as
  master, and the photoresistor board as slave. Eventually I will try to connect the LCD
  display to read the data. 
  I2C comunication works via 2 wires:
  SDA: this is where the data travel.
  SCL: this is the "timer", it allows the synchronization between the boards.
    For the slave board I needed Tiny Wire library,
    so I downloaded it and I included it in my sketch. In the beginning I had some problems
    including it, that was because I had two installation of Arduino: one as root, and
    one as normal user and they didn't share the libraries. So I had unistall the
    normal user one and install all the libraries I needed on the root one.
  
These are the two boards connected, you can see 4 wires:

