I can't select checkbox in datagridview C#

DataSet ds;
        DataTable dt;
        SQLiteConnection conn;
        SQLiteCommand comm;
        SQLiteDataAdapter sda;
        private int PageSize = 5;
        private int CurrentPageIndex = 1;
        private int TotalPage = 0;
        string strConn = @"Data Source=C:\carku\carku.db";
        public Form1()
        {
            InitializeComponent();
        }


        private void Form1_Load(object sender, EventArgs e)
        {
            First_Grid();
        }
        private void First_Grid()
        {
            conn = new SQLiteConnection(strConn);

            conn.Open();
            comm = new SQLiteCommand("select price,Thumnail_url  From cars order by price", conn);


            sda = new SQLiteDataAdapter(comm);

            ds = new DataSet();
            sda.Fill(ds, "cars");


            CalculateTotalPages();
            dataGridView1.ReadOnly = true;

           
            DataGridViewCheckBoxColumn CheckboxColumn = new DataGridViewCheckBoxColumn();
            CheckBox chk = new CheckBox();
            CheckboxColumn.Width = 20;
            CheckboxColumn.Name = "col_checkbox";
            
            dataGridView1.Columns.Add(CheckboxColumn);
          

            dataGridView1.Columns.Add("price", "price");
            var dvi = new DataGridViewImageColumn { HeaderText = "thumnail_url" };
            dataGridView1.Columns.Add(dvi);
           

            // int row = ds.Tables["cars"].Rows.Count - 1;
            int row = GetCurrentRecords(CurrentPageIndex, conn).Rows.Count - 1;
            for (int r = 0; r <= row; r++)
            {
                dataGridView1.Rows.Add();
                //  dataGridView1.Rows[r].Cells[0].Value = ds.Tables["cars"].Rows[r].ItemArray[0];
                dataGridView1.Rows[r].Cells[1].Value = GetCurrentRecords(CurrentPageIndex, conn).Rows[r].ItemArray[0];

                //to show image from url on column cells[3]
                System.Net.WebClient webSource = new System.Net.WebClient();
                //string url = ds.Tables["cars"].Rows[r].ItemArray[1].ToString();
                string url = GetCurrentRecords(CurrentPageIndex, conn).Rows[r].ItemArray[1].ToString();
                byte[] data = webSource.DownloadData(url);
                System.IO.MemoryStream pipe = new System.IO.MemoryStream(data);
                Image jpgImage = Image.FromStream(pipe);
                dataGridView1.Rows[r].Cells[2].Value = jpgImage;

            }
            lbl_Page.Text = "1/" + TotalPage.ToString();

        }