Can you copy/burn Blu-Ray with DVD drive?

I’m completely new to Blu-Ray, but I’m getting a new Sony Vaio laptop for Christmas and it comes with Blu-Ray disc support and does the whole DVD/CD player/burner as well. Will the laptop be able to copy Blu-Ray discs and/or burn Blu-Ray files onto a blank Blu-Ray (or DVD-R)? Also, if my laptop can only play Blu-Ray and not burn or copy then where can I find a nice external Blu-Ray burner?

Here’s my laptop —>