I can't find connection between your command and dataAdapter therefore try this:
cmd.CommandText = "select LeavPlace as Departing, DestPlace As Destination FROM DailyFlightInfo where LeavPlace =@Dep And DestPlace =@Dest "
cmd.Parameters.Add(New SqlParameter("@Dep", SqlDbType.VarChar, 50))
cmd.Parameters.Add(New SqlParameter("@Dest", SqlDbType.VarChar, 50))
cmd.Parameters("@Dep").Value = drpLeaving.SelectedItem.Value
cmd.Parameters("@Dest").Value = drpGoing.SelectedItem.Value
adp = New SqlDataAdapter(cmd);
adp.Fill(ds)
gridView.DataSource = ds
gridView.DataBind()