Bind TextBlock Text to SelectedItem property of ListBox
<StackPanel xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
xmlns:g="clr-namespace:System.Globalization;assembly=mscorlib">
<ListBox Name="lstbox"
HorizontalAlignment="Center"
Margin="24"
ItemsSource="{Binding
Source={x:Static g:DateTimeFormatInfo.CurrentInfo},
Path=DayNames,
Mode=OneTime}" />
<TextBlock HorizontalAlignment="Center"
Text="{Binding ElementName=lstbox,
Path=SelectedItem, Mode=OneWay}" />
</StackPanel>
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