Preheat oven to 350F (180C). Prepare a 10-12 cup bundt cake pan by thoroughly greasing and lightly flouring.
In an electric mixer on medium speed beat together the butter, sugar, and salt until combined then fluffy and lightened in color, 2-3 minutes
Add in the eggs one at a time, mixing well after each addition. Scrape the side of the bowl, then beat again to combine.
Whisk the baking powder into the flour, then add the flour to the batter in three parts, alternating with the milk. Start with 1/3 of the flour, then add 1/2 the milk, another 1/3 of the flour, the remainder of the milk, and the last of the flour. Mix until combined and not lumpy but don't over mix even if the batter looks a little curdled.
Add the lemon zest and lemon juice, and mix again until just combined. Turn off the mixer and use a rubber spatula to scrape up the bottom of the bowl and make sure no flour streaks remain. Batter will be thick.
Spoon the batter into the bundt cake pan and smooth the top out with a rubber spatula. Bake for 50-60 minutes or until toothpick comes out clean. Start checking at 45 minutes, dark cake pan especially cook through faster.
While the cake is baking, stir together the lemon juice and sugar. Microwave or heat on a burner until warm but not hot, just warm enough to dissolve the sugar when you stir it.
When cake is out of the oven, run a knife around the edges of the cake pan, then invert cake onto a cooling rack (or directly onto your serving plate). If it doesn't come out easily, wait 5 minutes then try again, or see the post above for tips on getting cake out of a bundt pan.
Brush the glaze onto the hot cake, top and sides. Let it sink in, then brush some more glaze on and continue until all the glaze is used up.
Once the cake has cooled completely, make the icing by mixing together the powdered sugar, pinch of salt, and 2 tablespoon of lemon juice. You want a thick glaze that you can spoon onto the cake, but if it's too thick to even pour you can add another tablespoon of lemon juice to thin it out a little. Drizzle the glaze all over the cake and enjoy!