Automatic vertical scroll bar in WPF TextBlock?

Question

Wrap it in a scroll viewer:

<ScrollViewer>
    <TextBlock />
</ScrollViewer>

NOTE this answer applies to a TextBlock (a read-only text element) as asked for in the original question.

If you want to show scroll bars in a TextBox (an editable text element) then use the ScrollViewer attached properties:

<TextBox ScrollViewer.HorizontalScrollBarVisibility="Disabled"
         ScrollViewer.VerticalScrollBarVisibility="Auto" />

Valid values for these two properties are Disabled, Auto, Hidden and Visible.