How to Hide and Show a Column in Datagridview using C#.net(Winform) by checkbox list control?

To do this you have to add the GridView_RowDataBound event to the datagrid.
You will have to create a list to store the selected indexes from the checkbox list, let's call it checkedColumnsList [List<int>].

The GridView_RowDataBound must look like the code below

protected void GridView_RowDataBound(object sender, GridViewRowEventArgs e)
{   
    e.Row.Cells[index].Visible = checkedColumnsList.Contains(index)? true : false; 
}

Note that every time user checks or unchecks the visibility you have to Bind the gridview again in order to trigger the GridView_RowDataBound event again and thus change the visibility.