Recombinant interferon (IFN) may be useful in the treatment of HIV. However, the high doses of IFN necessary to keep HIV under control limit its use due to toxic side effects. The purpose of this study is to test the safety and tolerability of weekly recombinant pegylated interferon (PEG-IFN) alfa-2a in HIV infected people who are currently on antiretroviral therapy (ART) interruption or who have not started taking anti-HIV drugs.