Thanks to Wolfgang’s example and a bit of delving into the API docs, I’ve managed to create a macro that does what I need it to do: select all lines in a document that are the same colour and width as a chosen example line. The code is as follows:
Sub selectSimilar()
	document = ThisComponent
	selection = document.CurrentSelection
	On Error Goto ERR
	If (selection.Count>1) Then 
		MsgBox "Select only one thing"
		Exit Sub
	End If
	exampleShape = selection(0)
	drawPage = exampleShape.Parent
	If (exampleShape.ShapeType = "com.sun.star.drawing.LineShape") Then 
		selectLines(drawPage, selection, exampleShape)
	End If
	document.CurrentController.select(selection)
	Exit Sub
ERR:
	MsgBox "Select something"
	On Local Error Goto 0
End Sub
Function selectLines(drawPage, selection, exampleShape)
	numShapes = drawPage.Count - 1
	exampleWidth = exampleShape.LineWidth
	exampleColor = exampleShape.LineColor
	For k = 0 To numShapes
		thisShape = drawPage(k)
		If (thisShape.ShapeType = "com.sun.star.drawing.LineShape") Then
			if (thisShape.LineWidth = exampleWidth AND thisShape.LineColor = exampleColor) Then
				selection.add(thisShape)
			End If
		End If
	Next k
End Function