using System;
using System.Collections.Generic;
using System.Collections.ObjectModel;
using System.Linq;
using System.Text;
using System.Threading;
using System.Threading.Tasks;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;
using System.Windows.Shapes;

namespace WpfApplication1
{
    /// <summary>
    /// Interaction logic for MainWindow.xaml
    /// </summary>
    public partial class MainWindow : Window
    {
        public MyClass MyCls { get; set; }
        public ObservableCollection<MyClass> MyCollection { get; set; }

        public MainWindow()
        {
            InitializeComponent();


            MyCollection = new ObservableCollection<MyClass>();
            MyCollection.CollectionChanged += MyCollection_CollectionChanged;

            Thread t = new Thread(new ThreadStart(() =>
                {
                    for (int i = 0; i < 10; i++)
                    {
                        MyCollection.Add(new MyClass() { Integer = i, Str = "String" + i });
                        Thread.Sleep(500);
                    }
                }));

            t.Start();
        }

        void MyCollection_CollectionChanged(object sender, System.Collections.Specialized.NotifyCollectionChangedEventArgs e)
        {
            Dispatcher.Invoke(
                () =>
                {
                    foreach (var item in e.NewItems)
                        dataGrid.Items.Add((MyClass)item);
                });
        }
    }

    public class MyClass
    {
        public int Integer { get; set; }
        public string Str { get; set; }
    }
}

<Window
  x:Class="WpfApplication1.MainWindow"
  xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
  xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
  Title="MainWindow"
  Height="350"
  Width="525">
  <Grid>

    <!--<ListBox
      Name="dataGrid">
      <ListBox.ItemTemplate>
        <DataTemplate>
          <StackPanel>
            <TextBlock
              Text="{Binding Path=Integer}" />
            <TextBlock
              Text="{Binding Path=Str}" />
          </StackPanel>
        </DataTemplate>
      </ListBox.ItemTemplate>
    </ListBox>-->

    <DataGrid
      Name="dataGrid">
      <DataGrid.ItemTemplate>
        <DataTemplate>
          <StackPanel>
            <TextBlock
              Text="{Binding Path=Integer}" />
            <TextBlock
              Text="{Binding Path=Str}" />
          </StackPanel>
        </DataTemplate>
      </DataGrid.ItemTemplate>
    </DataGrid>
    
  </Grid>
</Window>