If using coconut milk, place the can of coconut milk in the refrigerator and leave it there until well-chilled; we left ours in overnight.
Remove from refrigerator, flip the can and open the can of coconut milk.
There should be some water, pour this out separately and save to make smoothies.
Now you should have all coconut cream that is solidified.
Put this coconut cream in the bowl of a stand mixer or a large bowl. Turn your mixer or hand beaters to high speed and whip the coconut cream for 3 to 5 minutes.
Whip until it becomes fluffy and light with soft peaks.
Mix in the sugar and/or vanilla if using.
Serve with fresh fruit, brownies or just eat it fro the bowl