Preheat the oven to 375°F (190°C). Line two baking sheets with parchment paper.
In a large bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy, about 3 minutes.
Beat in the eggs one at a time, then stir in the vanilla extract until well combined.
In a separate bowl, whisk together the all-purpose flour, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing just until combined.
Fold in the semisweet chocolate chips evenly throughout the dough.
Drop rounded tablespoons of dough onto the prepared baking sheets, spacing them about 2 inches apart.
Bake in the preheated oven for 10 to 12 minutes, or until the edges are golden brown but the centers remain soft.
Remove cookies from the oven and let them cool on the baking sheets for 5 minutes before transferring to wire racks to cool completely.
To serve, place one warm chocolate chip cookie on a plate and top with a scoop of softened vanilla ice cream. Repeat for remaining servings.