How do I bind a GridView to a custom object?

If I have the following ASP.NET code (it's not complete - obviously there's a lot missing, but none of it matters):

    <asp:GridView>
        <Columns>
            <asp:TemplateField>
                <ItemTemplate>
                    My Label: <asp:Label />
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField>
                <ItemTemplate>
                    My Text Box: <asp:TextBox />
                </ItemTemplate>
            </asp:TemplateField>
        </Columns>
    </asp:GridView>

And if I have something like this in the CodeBehind:

Private MyListOfObjects As List(Of MyObject)

...

Public Class MyObject

    Public MyTextBoxString as String
    Public MyLabelString as String

End Class

How can I bind the GridView so that one row is equivalent to one item in my MyListOfObjects list, and so that the data will populate and persist across page loads or postbacks? I've never done custom databinding like this before, so a full explanation would be very helpful. All the tutorials I've come across so far only talk about using GridViews directly with Database query results, and that's not what I need.

Thanks!