Yes!
I have the original Blu-ray AR Series laptop(AR190G)... Blu-ray Discs play great!
Be sure to check Vaio Support regularly incase Sony updates anything(software/drive firmware/etc.).
To play Blu-ray... insert disc and it should open WinDVD BD and start playing - if Autoplay is disabled, start the playback player(mine is WinDVD BD) and point it at the drive... click play. That's it!
Congrats on the AR!