Pre-heat the oven to 180°C/160°C fan assisted oven/gas mark 4 / 350°F.
Line and grease a deep rectangular cake tin.
In a large mixing bowl beat the sugar and butter along with the zest of the two lemons (save the juice for the icing) for 2-3 minutes until light and fluffy. Use an electric hand beater or stand mixer.
Add the eggs one at a time, mixing well between additions, followed by the vanilla extract.
In a separate bowl whisk together the flours, baking powder and salt.
Place the blueberries in a bowl and sprinkle over 1 tablespoon of the flour mix to coat.
Add the flour mix to the rest of the cake batter and mix well to combine.
Stir in the flour coated blueberries then allow the cake mixture to rest for 20 minutes for the flours to settle.
Pour the cake mixture into the prepared cake tin. Bake for 40 minutes.
Remove from the oven. Transfer the cake to a cooling rack and allow to cool completely before icing.
To make the drizzle icing pour the icing sugar into a bowl. Gradually stir in 1½ tablespoons of the lemon juice with a whisk or a fork until the mixture thickens to a smooth pourable consistency.
To drizzle the icing over the cake, fill a small piping bag or a plastic sandwich bag with the icing and snip a small hole in one corner. Squeeze the bag gently to create a controlled drizzle of icing over the top of the cake.