Let's buy some shares

As a shareholder I would like to come in contact with other shareholders. I searched on the internet and I found a shareholder registrar, a place where all shareholders from different companies can search other shareholders. They can create a group of shareholders of one company and they can change information with each other. I am just a small shareholder just for fun to see how it works. It is not that I will earn a fortune with it but I am interested in a company and I thought let's buy some shares.