Sorting Date/Time data in List View

I have four columns my program populates at run time from database. One of the column is a date data. I converted those dates to string when populating but when it comes to sort this column it can't work with strings (obviously 10-23-2007 will be considered as before 11-23-2002).

How do I create a list view that can be sorted by date field. I also would like users to click on the column heading to sort by the date field. Is listView not a good choice for this?

public void ReadGradeData()
        {

            try
            {
                using (SqlConnection scn = new SqlConnection(cs))
                {
                    string sp = "up_ViewGrade";
                    SqlDataReader rdr = null;
                    SqlCommand spcmd = new SqlCommand(sp, scn);
                    spcmd.CommandType = CommandType.StoredProcedure;
                    scn.Open();
                    rdr = spcmd.ExecuteReader();

                    while (rdr.Read())
                    {
                        // get the results of each column
                        
                        GradeDate = (DateTime)rdr["RECORD_ID"];
                        strSystem = (string)rdr["System"];
                        strLocation = (string)rdr["Location"];
                        strGrade = (string)rdr["Sensor_ID"];

                        lstGrade.View = View.Details;
                        //*********
                        ListViewItem item = new ListViewItem(new[] { Convert.ToString(GradeDate), strGrade, strSystem, strLocation });
                        lstGrade.Items.Add(item);

                        //*********

                    }
                }
            }