Hii There,

Congrats Buddy

Yes if you are holding a free ship card with yourself then all the universities of Gujarat and for all courses will accept it. However, only tuition fee is paid by government other fees like hostel will not be paid by them. You have to bear the cost of other things.

Also, I am  a student of Nirma University only, so if you have any other query, feel free to ask me.

I hope this answers your question.