Datagrid binding in WPF

PLEASE do not use object as a class name:

public class MyObject //better to choose an appropriate name
{
    string id;
    DateTime date;
    public string ID
    {
       get { return id; }
       set { id = value; }
    }
    public DateTime Date
    {
       get { return date; }
       set { date = value; }
    }
}

You should implement INotifyPropertyChanged for this class and of course call it on the Property setter. Otherwise changes are not reflected in your ui.

Your Viewmodel class/ dialogbox class should have a Property of your MyObject list. ObservableCollection<MyObject> is the way to go:

public ObservableCollection<MyObject> MyList
{
     get...
     set...
}

In your xaml you should set the Itemssource to your collection of MyObject. (the Datacontext have to be your dialogbox class!)

<DataGrid ItemsSource="{Binding Source=MyList}"  AutoGenerateColumns="False">
   <DataGrid.Columns>                
     <DataGridTextColumn Header="ID" Binding="{Binding ID}"/>
     <DataGridTextColumn Header="Date" Binding="{Binding Date}"/>
   </DataGrid.Columns>
</DataGrid>