The following VBA example re-creates each segment of the selected curve as a separate shape and gives each one a different outline color (depending on the subpath to which the original segment belonged).
Sub Test()
Dim s As Shape
Dim seg As Segment
If ActiveShape Is Nothing Then Exit Sub
If ActiveShape.Type <> cdrCurveShape Then Exit Sub
For Each seg In ActiveShape.Curve.Segments
Select Case seg.Type
Case cdrLineSegment
Set s = ActiveLayer.CreateLineSegment(seg.StartNode.PositionX, seg.StartNode.PositionY, _
seg.EndNode.PositionX, seg.EndNode.PositionY)
Case cdrCurveSegment
Set s = ActiveLayer.CreateCurveSegment(seg.StartNode.PositionX, seg.StartNode.PositionY, _
seg.EndNode.PositionX, seg.EndNode.PositionY, seg.StartingControlPointLength, _
seg.StartingControlPointAngle, seg.EndingControlPointLength, seg.EndingControlPointAngle)
End Select
s.Outline.Color = ActivePalette.Color(seg.SubPathIndex + 12)
Next seg
End Sub