You'll be able to tell pretty quickly by watching two guages. The speedometer and the fuel guage. If the fuel guage goes down as quickly as the speedometer goes up, you have a turbo my friend!
From your description, it sure sounds like a turbo performing! Have fun...but please drive safely!
( Court and insurance is very expensive!
) You should be able to enter your car "VIN" number and find out all kinds of information about your vehicle.