If you wish to attend a university or other academic institution in the United States, including elementary and high school, a conservatory, seminary or language training program, the F-1 visa will allow you to do so.
If you wish to work in the U.S., a variety of visas are available to you. There is the H-1B for professionals, the L-1 for multinational employees, the E-2 for investors, and the O-1 for the individual with extraordinary ability in the sciences, arts, education, business, and athletics.
When a permanent resident card, commonly called a "Green Card" is granted to you by the U.S. Citizenship and Immigration Services (USCIS), you will be able to live and work in the United States on a permanent basis.