He will likely have surgery in the near future. The surgical takes about an hour. Rehabilitation typically takes anywhere from 9-12 months. Some surgeons are augmenting achilles repairs with platelet-rich plasma pointing to anecdotal evidence suggesting PRP could accelerate recovery.
Here is a video of how to clinically diagnosis an achilles tendon tear:
Below are some pictures that outline the steps in an Achilles tendon repair
Torn tendon, suture repair, closure
If anyone can come back from this injury, Kobe can. The NBA and all of basketball are wishing him the the best for his surgery if needed and for his full recovery.