How to perform Single click checkbox selection in WPF DataGrid?

For single click DataGrid checkbox you can just put regular checkbox control inside DataGridTemplateColumn and set UpdateSourceTrigger=PropertyChanged.

<DataGridTemplateColumn.CellTemplate>
    <DataTemplate>
        <CheckBox IsChecked="{Binding Path=IsSelected, UpdateSourceTrigger=PropertyChanged}" />
    </DataTemplate>
</DataGridTemplateColumn.CellTemplate>