Yes Dr Bronner's soap can be used to wash your face or any other part of your body.
I wash my face daily in the morning with Dr Bronner's soap and have done so for a few years now and I like Dr Bronner's soap more than my regular soap I used to use to wash my face.
I also shower with Dr Bronner's soap and it gets me clean and is much better for my skin than other soaps.
If you find that the Dr Bronner's soap is too strong for your skin you can dilute the Dr Bronner's soap first with some water and then use it on your skin.
The Dr Bronner's soap is great soap for people who have acne prone skin and can help prevent future outbreaks of acne if you use it often enough to wash your face and other skin with.