\version "2.19.28"

\layout {
  \context {
    \Voice
    \consists "Horizontal_bracket_engraver"
  }
}

\relative c'' {
  \override HorizontalBracket.direction = #UP

  g1\startGroup |
  e |
  R |
  R |
  R\stopGroup | %get the bracket to extend and "include" this final rest
}