Preheat the oven to 350 F and line baking sheets with parchment paper or baking mats.
Place butter and sugar in a large mixing bowl and beat with a hand mixer on medium-high until light and fluffy (about two minutes).
Next add the egg and vanilla. Mix to combine.
Add the dry ingredients - flour, baking soda, and salt - to the wet and mix until just combined.
Cover the dough bowl with plastic wrap and chill for an hour.
Scoop the cookie dough onto the baking sheet using a 2 T cookie scoop. Place a few inches apart.
Bake the cookies for 12 minutes, or until they are just set and beginning to turn golden on the bottom. Allow the cookies to cool on the baking sheet for 5-10 minutes, then transfer them onto a wire rack to cool completely.
Notes
Add a little bit of milk to the dough if you roll it out and find that it's dry.