Easiest way to run a Walmart blender with an Arduino UNO

I don't think it matters. From the infomercials I have seen, it appears you have to press down on the magic bullet in order to turn it on - so you'd have to open it up & short out that switch to allow switching the AC power to have any effect:

"1. Load the ingredients into the Short Cup, Tall Cup, or Party Mug.
2. Twist on the Cross, or Flat Blade until the blade and cup have a tight seal.
3. Line up the tabs, place THE BULLETâ„¢ on the Power Base and press down on the cup to turn it on.

Here's how it works: As long as you're holding it down, the Magic Bullet is on. When you want the blades to stop, simply let go.

Or, for hands-free operation: Press down and gently turn the cup clockwise until the tabs lock under the lip of the Power Base. Now the Magic Bullet is in Lock On mode where the motor runs continually. To turn it off, simply twist the cup back counterclockwise and release the cup."