The Good Neighbor Scholarship uses the February–March application window for fall and the academic year.
The exemption applies to tuition alone. Health insurance, late registration charges, the ISSS support services fee and the rest of your bill are still yours to pay, and so are housing, food and travel. Awards are made one year at a time, so a recipient applies again for any later year.
Applications run through LASSO, the university scholarship system, in two windows each year. Searching the keyword ISSS brings up the Texas Global awards. You will need certified evidence of native-born citizenship, your academic record, and answers about your expected costs.