Bitcoin will grow in value. Depending on how much Bitcoin you own, you'll become wealthy. It's a new currency, so it'll take time to establish itself, but once it does, it'll be the one-world currency.
It won't be the one-world currency. I can see Bitcoin being a reserve currency, possibly the global reserve currency. But I doubt it will be the only accepted currency.
It does, however, depend on the amount of Bitcoin you own. If you own enough, you can become very wealthy. Just like if you have 100 ounces of silver, and the price goes up $0.01, you just earned $1. Goes up $1, and you earned $100, goes up by $10, that's another $1000, etc.
Bitcoin has a greater potential to make people wealthy as opposed to precious metals, since the volatility is quite high.