Not sure I understand your question, but basically nothing happens to them except you no longer interact on the site.
Once blocked, a member cannot do any of the following:
- post notes to your account
- send you messages
- accept your game seeks
- be auto-matched with you in open seeks
- join tournaments that you are running
- post in content that you created
i know this can seems a stupid question, i ask this only becouse playing some game in live chess i meet some rude player who starting insult me only becouse they lose (and i ask this becouse i block all of them) sorry in advance if my english is a little bad