Is dizziness, blurred vision, weakness, cold sweats, and feeling faint normal when receiving Juvederm?

I believe it is very likely you were experiencing a vasovagal reaction. A vasovagal reaction occurs when you faint because your body overreacts to certain triggers, such as the sight of blood or extreme emotional distress. The trigger causes your heart rate and blood pressure to drop suddenly, which reduces the blood flow to the brain. Depending upon the severity, you may completely lose consciousness and faint, or if less severe, feel dizzy and nauseous.  
This can be treated or prevented with atropine 0.4 mg injected in the muscle. For many years, I have been preventing vasovagal events for patients prone to fainting when the patient has Tumescent Liposuction patients (liposuction completely by local anesthesia), by giving atropine 0.4 mg via their intravenous access, without any adverse effects.

From your description it sounds as though you had a reaction to the injections themselves versus the Juvederm product.  While it is not typical, this reaction can occur.  Depending on the severity some patients can control it with distraction techniques, cool compresses, or positioning.

Thank you for your question and I’m sorry you had such an uncomfortable reaction to your treatment. I would not expect Juvederm itself to cause a reaction like this - it was more likely the injections themselves. It sounds like it might have been what is known as a vasovagal reaction to the injections or a panic attack. If you decide to try this procedure again in the future, I recommend you find a board-certified dermatologist and discuss your previous reaction. The right doctor should be able to put your concerns at rest and create a comfortable environment for your treatment that will likely elicit a less severe response. Good luck to you!