How do I read I2C memory with an Arduino?
You are going to want to use the Arduino Wire library (more details here) to talk to the device (it comes built in with the IDE).

The I2C lines you will need to connect between your Arduino and your Sensor are SDA, SCL, and GND. Namely:


Arduino Analog Pin 4 = SDA = Sensor Pin SDA (2)
Arduino Analog Pin 5 = SCL = Sensor Pin SCL (1)
Arduino GND Pin      = GND = Sensor Pin GND (5)


Depending on the distance between the Sensor and the Arduino you might also need external pull up resistors (e.g. 3.3k Ohm) connected between each of SDA and SCL and VCC. 

There's a gotcha though. The sensor appears to operate at 3.3V and the Arduino operates at 5V. So to "interface" I2C between them you need to use transistors to level shift the signaling as described in this other post (with this key reference). You're going to want those pull up resistors I mentioned on either side of the level conversion transistors.