I would say that it is not normal to have extreme redness and blistering after a CoolSculpting procedure, but it is possible. I have seen different degrees of redness on different people after CoolSculpting and sometimes people do get more red than others. This discoloration should go away completely over time. I have not seen blistering before but would think this would resolve completely as well. Be sure to have your progress monitored by your doctor to make sure your issues are improving.
Thank you for your question and photo. Coolsculpting is very safe when it is done properly. From your photo, it appears like the gel pad which is used to protect your skin from a freeze burn has not been applied correctly. I recommend having a follow up with your treating physician for treatment to prevent scarring. Remember it is always suggested to have treatment by expert providers. Best of Luck!