Code:
public void UcitajUListview()
        {
            listViewRaspolozivi.Items.Clear();
            DataSet ds = new DataSet();
            string upit = "Select * from Vozilo";

            using(SqlConnection conn = new SqlConnection(Properties.Settings.Default.RentCarConnStr))
            {
                SqlDataAdapter da = new SqlDataAdapter(upit, conn);
                da.Fill(ds);
            }

            DataTable tblVozilo = ds.Tables[0];
            foreach (DataRow dr in tblVozilo.Rows)
            {
                ListViewItem lvi = new ListViewItem();
                //lvi.SubItems.Add(dr["ID_vozila"].ToString); //Ovde je problem, ako je otkomentarisan ucitava ID_vozila ali na pogresnom mestu
                lvi.SubItems.Add(dr["Marka"].ToString());
                lvi.SubItems.Add(dr["Boja"].ToString());
                lvi.SubItems.Add(dr["Godiste"].ToString());
                lvi.SubItems.Add(dr["Registracija"].ToString());

                listViewRaspolozivi.Items.Add(lvi);
            }

            if (listViewRaspolozivi.SelectedItems.Count == 0)
            {
                return;
            }

            string query = "Select * from Vozilo Where ID_vozila = '" + 
                listViewRaspolozivi.SelectedItems[0].Tag.ToString() +"'";

            using(SqlConnection conn = new SqlConnection(Properties.Settings.Default.RentCarConnStr))
            {
                SqlCommand cmd = new SqlCommand(query, conn);
                conn.Open();

                SqlDataReader dr = cmd.ExecuteReader();
                dr.Read();

                Automobil car = new Automobil();
                car.ID = (int)dr[0];
                car.Marka = dr[1].ToString();
                car.Boja = (string)dr[2];
                car.Godiste = (string)dr[3];
                car.Registracija = (string)dr[4];

                dr.Close();

                conn.Close();

               voziloBindingSource.DataSource = car; 

            }
        }