to go up to: to approach (also: to come up to, to walk up to, to run up to, to drive up to, etc.)
The related forms have the same meaning, but the type of movement is

Examples of TO GO UP TO

  • A woman came up to the pair, and Calipari expected her to ask for his autograph.

  • The bloke who played Brendan from A Country Practice came up to me to say hello.