Cucumber Lemonade

I had this drink at Bubby's restaurant in Soho and I couldn't help but try and recreate it.

Puree together:

2 cucumbers, peeled and chopped coarsely
2 lemons
2 t sugar (or more to taste)
1/2 cup or more water or seltzer water depending on how thick you like it (I like mine bordering on sorbet consistency)