Since no one else has said anything, I will give you my two cents about this: Better than getting advice off of the internet, contact the Admissions Office and get them to tell you.
Back in the day, the single easiest time to get into GT was right out of high school - transferring into GT was difficult. Lots of courses would not transfer or would leave you short (e.g. Math 1701 = 5 hours at GT while the equivalent may have only been 3 or 4 hours at another school) or your college GPA would not be as good as your high school GPA.
It can be done, but you will have to rock out at GStU and take the right courses to keep from having to repeat (and pay for!) hours that don't transfer. Good luck.