You can check out the entire launch and recovery of the craft (minus its payload of one Tesla Roadster) here (The actual launch happens a little before the 30 minute mark).
A successful launch after a scrubbed launch last week put SpaceX in the lead for private contractors to handle missions to the ISS. The unmanned capsule is planned to dock with the ISS if everything is go. This is only the second launch for the Dragon capsule and the third for the Falcon 9 rocket.
The overall goal is to make space flight more cost-effective, something that NASA has not been able to do.
Space.com has the details here.
So, the question is: Do you think switching away from government-based to commercial-based space flight will hurt or hinder our exploration of the stars?