Bring a pot of water to a boil and season with 1 tsp of salt. You can also add 1 tsp of sugar if you want to bring out the sweetness in the pea. I didn't do that, but it is an option!
Once the water is boiling, add all of the frozen peas and boil for 1-2 minutes, until they are bright green and tender. We do not want to over cook the peas and have them turn olive green!
After the 1-2 minute mark, remove them from the boiling water and put them into a bowl of cold water. Run some more cold water over the bowl, while mixing the peas. The motion helps the heat disperse more quickly so that they stop cooking. If you don't feel like doing this, you can also put the newly cooked peas into an ice bath!
Once the peas are no longer hot, remove 1/2 cup and reserve it for topping (if serving this as a dip.) If you are serving this as a spread and don't want to garnish, skip this step.
Pour all of the peas into a blender. Add the lemon juice, lemon zest, salt and olive oil. Blend (and use purée function if you have it) until smooth (1-2 minutes.) Taste to make sure the levels of flavor are to your liking, and if not, adjust accordingly. If you want more salt, add more salt. If you started off lightly on the lemon and want more lemon, this is your time to add more! Feel free to also add raw garlic if that's what your palate wants!
Put the mesh strainer over a bowl and fill it halfway with pea purée. Use the back of a spoon to smear the purée onto the strainer to filter out the grainy, clumpy bits that weren't blended. What comes out on the other side is your newly super smooth pea purée!
Continue to strain until you've smoothed out all of the purée. Feel free to eat the leftover clumpy parts, or put them in a bag to use for a pea soup! You could also put them back in the blender to purée.
If serving as a dip, pour the purée into a bowl or onto a platter. Create a divot in theh middle and place some peas on top. Top with toppings of your choice. I added olive oil, fresh black pepper, Parmesan and parsley.
If making ahead, store in an air-tight container for up to 3 days! Enjoy!