IFN is an immune response enhancer and is produced in the body in response to viral infection. PEG-IFN may have less harmful side effects than non-pegylated IFN. Recombinant PEG-IFN alfa-2a is a synthetic version of IFN and is used in hepatitis C virus treatment. PEG-IFN alfa-2a has demonstrated potentially useful antiviral properties in HIV treatment; however, due to the high doses that must be administered to maintain viral suppression, toxicity (especially to the blood) is a concern. This study will evaluate the safety, tolerability, and antiretroviral activity of PEG-IFN alfa-2a in HIV infected patients who have received ART in the past but are currently off ART or who are ART naive.