Blu ray video requires what is called a "protected path". You need a monitor that is HDCP compliant.
Since your laptop has an HDMI connector on it as an output, it may meet this requirement. But I'm not sure how you are going to connect an external, stand alone Blu Ray player if the laptop does not have an HDMI input port.
Unless I'm misreading your post and you have a blu ray drive in the laptop? If you have such a drive, you can run one of the Blu ray advisor programs to see if the laptop meets HDCP requirements. Here is one: http://www.cyberlink.com/stat/bd-support/enu/index.jsp
It is possible to hook up an external blu ray drive through usb and play on a computer if the monitor meets their specifications.
Edit: Too late