AIDS is really a set of symptoms that result from the effects on the immune system of the HIV virus.
Currently, there is no "cure" for HIV. What we'd like is a way to kill the virus without harming the patient, but that's a difficult problem given the nature of the virus.
There are treatments available that effectively control HIV so that the patient doesn't develop AIDS. In other words, it is now quite possible to live a long and happy life unaffected by HIV, but only by taking certain medication regularly.
Researchers are working on clever ways to eradicate the HIV virus in a human body. As we speak, there are some human clinical trials underway. So, it might not be very long before we have a "cure" for HIV.