You could listen to Loaded event. When Loaded wpf will trigger your animation.
Here is an example how you could achieve that:
<Button Height="23" Margin="102,95,100,0" Name="button3" VerticalAlignment="Top" Content="Opacity">
<Button.Triggers>
<EventTrigger RoutedEvent="Loaded">
<BeginStoryboard>
<Storyboard>
<DoubleAnimation
Storyboard.TargetProperty="Opacity"
From="1"
To="0"
Duration="0:0:1"/>
</Storyboard>
</BeginStoryboard>
</EventTrigger>
</Button.Triggers>
</Button>