As a Highly Trusted Sponsor, Notre Dame will issue a CAS ( Certificate of Acceptance for Studies) which will allow you to apply for a student visa under the Points based System (PBS).
If you require a Tier 4 Adult General Visa, you must prove you are competent in English language at a minimum of CEFR level B1 and via an approved English test. If you are applying for a Tier 4 Child visa, you will still need to demonstrate your English but may not need an approved test. Nationals of a majority English-speaking country as determined by the UKBA do not need to take such a test.
However we can only give limited advice about visa application, so please consult the UK Border Agency website for more details and guidance, please check out the links on this page for more detailed information.