Is it true?
No, it's not true, and that's not what the document you linked to says.
You can only apply for citizenship two years after you receive permission to settle. You can only get permission to settle only once you get permanent residency. To get permanent residency, you need to spend five full-time years in Poland. Studies count as half-time residence, so each year as a student counts as only one half year for that purpose. So right now, you have only one year of full time residency (your two years as a student), and you need at least seven. So you have at least six more years to go, and probably longer if you are still studying.