Using these two tutorial to read raw data :

http://playground.arduino.cc/Main/MPU-6050

http://diyhacking.com/arduino-mpu-6050-imu-sensor-tutorial/

Be careful to use the 3.3V pin to power the board, as recommended in the datasheet and not the 5V.

The test was successful, however to continue we'll have to read a bit about I2C and the way it uses the port INT, SDA and SCL.

The datasheets of the board : Register Map and Specifications, and more info available at I2Cdevlib

Here are some readings from the Serial :

(It even has a temperature sensor)

Here is a capture of acceleration along x-axis :

First bursts are due to manual oscillations of the breadboard along x-axis, the along y-axis for the second perturbation.

The use of a digital filter seems necessary to clean the data.