No, the healthcare reform does not reduce the costs of healthcare for people. In fact, in many cases the costs go up. I personally know folks who wanted to keep their current coverage but couldn't afford it because they would how have to pay double, if not more, per month.
While universal healthcare is a necessary and good implementation into our government fabric, the most current version has been spoiled by the split-party system, with many agents actively working to undermine and poison the others bills. The increased costs are also due to mega corporation insurance companies that are above the law and are capable of subverting the system through impressive lobbying power and political sway, allowing them to increase their rates without regard.