You can achieve your goal by configuring GridView.ItemContainerStyle
:
<GridView ...>
<GridView.ItemContainerStyle>
<Style TargetType="GridViewItem">
<Setter Property="HorizontalContentAlignment" Value="Stretch" />
<Setter Property="VerticalContentAlignment" Value="Stretch" />
</Style>
</GridView.ItemContainerStyle>
<!-- other code -->
</GridView>
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