Google's model was inspired by Berkshire Hathaway. I'm not entirely certain, but I don't think it's very common to have such a two-tiered insider/outsider voting system. It really dilutes the value of the "outsider" shares. (Especially if, as in Google's case, you promise to never, ever pay dividends. If you never get dividends, and you don't get to vote, then what are you paying for when you buy a share? A pyramid scheme? You hold some claim to Google's assets, but it's essentially unenforceable unless Google decides to buy back its shares or dissolve the company. Both are decisions that are taken based on voting power that you don't have.)
As for buying a company's stock: Who are you going to buy your 11 shares from? If I don't want to sell them, and no one else owns any, then where do they come from? The Company could issue more shares for you to buy, but it doesn't have to. And if I control the Company, I can tell it whether or not to issue more shares. When you buy shares on the stock market, you aren't buying them from the Company itself. You're buying them from someone else who owns shares and wants to sell them. If no one wants to sell, there are no shares to buy.