InitializeComponent();
...
      DataSet ds = new DataSet("DataSet1");
      DataTable dt = new DataTable("Table1");

      dt.Columns.Add("Column1", typeof(int));
      dt.Columns.Add("Column2", typeof(string));

      ds.Tables.Add(dt);

      dt.Rows.Add(new object[] { 1, "Иванов" });
      dt.Rows.Add(new object[] { 2, "Петров" });
      dt.Rows.Add(new object[] { 3, "Сидоров" });
      dt.Rows.Add(new object[] { 4, "Тараканов" });

      listView1.DataContext = ds;

      ...

    <ListView x:Name="listView1" IsSynchronizedWithCurrentItem="True" ItemsSource="{Binding Path=Table1}">
      <ListView.View>
        <GridView>
          <GridViewColumn Header="GridViewColumn1" DisplayMemberBinding="{Binding Path=Column1}"/>
          <GridViewColumn Header="GridViewColumn2" DisplayMemberBinding="{Binding Path=Column2}"/>
        </GridView>
      </ListView.View>
    </ListView>