Here are some tips:
1. Do you have the right hair?
To have a hairstyle just like that you need very straight hair. It will look slightly different, but still good IMO, if your hair is a little wavy. If you are on the curly side, however, it's just not going to happen.
2. Find a good hairstylist!
The most important thing is to find a hairstylist that is capable, up to date, understands how to work with your hair-type, and gives you styling tips. Usually this means spending more money... but not always. Since this is a more popular "asian" style, you can try visiting some trendy asian hair salons.
3. Bring the picture
Try bringing the picture along and asking the hairstylist if he can copy it.
4. Use a quality styling product
I suggest manipulator by bedhead. It's a little expensive, but it has great hold and separates your hair into nice "strands". It also smells really good.
Good luck!
