You first define the 3 data template for your league, division and team classes. After, you bind the TreeView to the root of your objects. Your League and Division classes should have a Children property that returns the children. All your classes should have a Name property.
Then when you want to show a single object, use the ContentPresenter, and the bind its content to the SelectedItem if the TreeView.
For example:
<StackPanel>
<StackPanel.Resources>
<DataTemplate DataType="{x:Type your_namespace:League}">
<StackPanel Orientation="Vertical">
<TextBlock Text={Binding Name}/>
<.../>
<StackPanel>
</DataTemplate>
<DataTemplate DataType="{x:Type your_namespace:Division}">
<StackPanel Orientation="Vertical">
<TextBlock Text={Binding Name}/>
<.../>
<StackPanel>
</DataTemplate>
<DataTemplate DataType="{x:Type your_namespace:Team}">
<StackPanel Orientation="Vertical">
<TextBlock Text={Binding Name}/>
<.../>
<StackPanel>
</DataTemplate>
</StackPanel.Resources>
<TreeView x:Name="_tree" ItemsSource="{Binding RootOfYourItems}">
<TreeView.ItemTemplate>
<HierarchicalDataTemplate ItemsSource="{Binding Children}">
<TextBlock Text={Binding Name}/>
</HierarchicalDataTemplate>
</TreeView>
<ContentPresenter Content="{Binding Path=SelectedItem, ElementName=_tree}" />
</StackPanel>
This code was not tested or compiled, it just provided as an example.