Although the main Becta Home Access programme has now closed to new applications, there are still plenty of grants for free computers available for learners who qualify for Assistive Technology scheme. "Home Access is a government drive grants for a child that has severe disabilities or a statement of Special Educational Needs, where they need extra help to use computers and get online. Students who're from a low-income family and receive certain benefits (such as Free School Meals) they could qualify for their own personalised Home Access package."
Each package is tailored to learner's individual needs, so it's difficult to say exactly what they get, but it could include anything from specialist access devices, such as a mouth-controlled mouse, dedicated software to help them more easily interact with web pages or even touch screen technologies to help them access a computer and the internet.
More Info: Home Access website