Should I Submit All Supplementary Materials?

I plan to apply as a transfer student to Stony Brook in CS.
I currently attend the Univ. at Albany with a major in CS. I have got 3.9/4.0 with 34 credits.

As I contacted counselors of Stony brook, they told me that I do not need to submit supplementary materials such as HS transcript, essays, TOEFL, SAT and so on. From what I was told, what I am required to present is only my college transcript. Many people around me are telling me that I will not have trouble transferring to Stony brook because of my great GPA.

I want to pick your brain about this situation that has come up. Do I need to send all the other materials too?