IEEE stands for the Institute of Electrical and Electronics Engineers. The association is chartered under this name and it is the full legal name. IEEE is the world's largest premium professional organization which is divided into 10 geographical regions.
You can form a new Student Branch if one does not currently exist at the school, by visiting the IEEE Geographic Unit Formation Policies and Petitions website, scroll down the page and select the link for "Student Branch". This document will provided step by step instructions regarding an IEEE Student Branch.