C# - Return Multiple Tables Using MySqlDataReader?

I want to return two tables using a mySqlDataReader and load the results into two datatables.

using (MySqlConnection connMySql = new MySqlConnection(global.g_connString))
{
MySqlCommand cmd = connMySql.CreateCommand();
cmd.CommandText = @"
SELECT * FROM table1;
SELECT * FROM table2;
";
connMySql.Open();
using (MySqlDataReader dr = cmd.ExecuteReader())
{
DataTable dt1 = new DataTable();
dt1.Load(dr);
dr.NextResult();
DataTable dt2 = new DataTable();
dt2.Load(dr);
gridView1.DataSource = dt1;
gridView1.DataBind();
gridView2.DataSource = dt2;
gridView2.DataBind();
}

However, when I run this, only one gridView is populated. Can I use NextResult in this way, or is there a better way to acheive this?