Preheat oven to 325°F. Spray a 10-inch bundt pan with baking spray. Set aside.
In the bowl of a stand mixer fitted with the paddle attachment, combine the cream cheese and butter, mixing on medium speed until smooth, about 3 minutes.
Gradually add the granulated sugar. Continue mixing until the mixture is light and fluffy.
Add the eggs, one at a time, mixing well after each addition. Then add the vanilla extract.
With the mixer on low speed, gradually add the cake flour, mixing until just combined. Then, gradually add the buttermilk, mixing until just combined.
Pour half of the batter into the prepared bundt pan, spreading it evenly.
In a small bowl, combine the light brown sugar and cinnamon. Sprinkle this mixture evenly over the batter in the pan.
Carefully pour the remaining batter over the cinnamon mixture, spreading it to cover as much of the cinnamon layer as possible.
Bake for 75-80 minutes, checking for doneness at 1 hour. The cake is done when a toothpick inserted into the center comes out with a few crumbs but no wet batter. The crust should be a dark golden brown around the edges and lighter in the center.
Allow the cake to cool to room temperature in the pan, then invert it onto a serving plate.