The trick here is to use the IsKeyboardFocusWithin property on the ItemContainerStyle:
<ListView ItemsSource="{Binding}">
<ListView.ItemContainerStyle>
<Style TargetType="ListViewItem">
<Style.Triggers>
<Trigger Property="IsKeyboardFocusWithin" Value="True">
<Setter Property="IsSelected" Value="True" />
</Trigger>
</Style.Triggers>
</Style>
</ListView.ItemContainerStyle>
<ListView.ItemTemplate>
<DataTemplate>
<TextBox Text="{Binding Path=YourPropertyValue}" />
</DataTemplate>
</ListView.ItemTemplate>
</ListView>
In this example we are simply stating that IsSelected should be set to true whenever a control within that item contains the keyboard focus.
Note: this does not work in the opposite direction; selecting a particular item in the list will not automatically give focus to the contained TextBox
Edit in response to comments
As Joep pointed out, this will mean that losing keyboard focus (which will happen when a control besides the TextBox gains focus) will cause the IsSelected property to be reset to false. You can work around this by replacing the Style setter with an trigger enter action, which prevents the change from being undone when the trigger is no longer valid.
For this to work in the same way as the previous example you will need to explicitly set the SelectionMode for the ListView to Single; otherwise, multiple items can become selected at once.
<ListView ItemsSource="{Binding}" SelectionMode="Single">
<ListView.ItemContainerStyle>
<Style TargetType="ListViewItem">
<Style.Triggers>
<Trigger Property="IsKeyboardFocusWithin" Value="True">
<Trigger.EnterActions>
<BeginStoryboard>
<Storyboard>
<BooleanAnimationUsingKeyFrames
Storyboard.TargetProperty="IsSelected">
<DiscreteBooleanKeyFrame KeyTime="0:0:0"
Value="True" />
</BooleanAnimationUsingKeyFrames>
</Storyboard>
</BeginStoryboard>
</Trigger.EnterActions>
</Trigger>
</Style.Triggers>
</Style>
</ListView.ItemContainerStyle>
<!-- ... -->
</ListView>