No, it is not accurate.
Starchy veggies (like corn and potatoes, etc.) have points that you need to count. Other veggies are zero points.
Fruit is zero points. This is different than being unlimited. Your daily points target has about 5 servings of zero point fruits and veggies built in, with a serving of fruit being 1/2 cup and green veggies 1 cup. After you eat those five servings you are supposed to start counting the points, although some people can get away with eating 5+ servings and not counting it and being okay, but it's kind of trial and error for each person.
Hope that helps
Edited to add: This is with Points Plus. The older plans are different.