I am very afraid of getting the norovirus. Can it be transmitted by breathing it in, or more typically by touching a surface that has the virus on it?

More contact. Noro virus is quite virulent - 18 particles is all it takes. Usually direct contact - unless someone coughs in your face... The virus is spread by direct contact and from contaminated foods. See cdc site for more info: http://www.Cdc.Gov/features/norovirus/.