Thank you for the congrats! The process of getting in to UT was very stressful (IMO) but very much worth it in the end. The deadline for applying to UT is October 1st. If you have a strong GPA, then the essays don't matter as much as oppose to you having a weak GPA. There is a lot of good information from past transfer applicants on the college confidential website. Just goggle 'UT Austin college confidential' and it should pop up.
My GPA was 3.89 when I applied. I have not really had the chance to talk to other pre-nursing transfers because the first week of school has been pretty hectic! So, I could not tell you what the avg GPA is for the school of nursing.
When I went to the info sessions they said that they encourage students to take the hard sciences at UT. I am guessing because the professional sequence is very competitive right now. So, the higher the UT GPA and the number of UT hours the better. The avg number of hours at UT that those accepted to the professional sequence was around 40 hrs.
GPA is one of the most important factors when transferring. If your GPA is not that great, then write really good essays. Be honest in your essays and show them that you really want it. I wish you luck and I really hope that you get in to UT. It is truly an amazing accomplishment!