In a large bowl beat the butter, brown sugar and white sugar until fluffy.
Beat in the egg and vanilla extract until smooth.
With the mixer on low speed mix in the flour, baking soda and salt until combined.
Mix in 3/4 cup chocolate chips.
Cover the bowl with plastic wrap and refrigerate for at least 2 hours or overnight.
When ready to bake, preheat the oven to 350F (180C) degrees and line cookie sheets with parchment paper or baking mats.
Remove the dough from the fridge. If it's too hard to form into balls, let it sit on the counter for 5-15 minutes first.
Form the dough into balls with about 1 - 1.5 tablespoons of dough each (about 1 inch in diameter) and place 2 inches apart on a cookie sheet. I like to use a cookie scoop to do this.
Bake the dough 1 sheet at a time on the middle rack of the oven for 10-12 minutes or until the tops look set.
When the cookies come out of the oven, optionally dot the top of each cookie with a few extra chocolate chips. Let the cookies cool on the cookie sheet for at least 10 minutes, then transfer to a wire rack to continue cooling.