Yes, you should definitely receive medical treatment if you were injured in a slip-and-fall, as with any other case. The reason being, by getting medical treatment, you are causing there to be documentation, one, that you were injured on that day. Hopefully, you would get in to medical treatment that first day, and you should, or as soon after that as possible.
But you would cause this documentation to be made by a medical provider that you were injured. They would document what your injuries were, and after that you should continue with any recommended treatment. This is a way in which you would be able to prove your case later, one, that you were injured, the types of injuries, how long the treatment lasted, and the cost of the treatment.
If you don’t do that, then you won’t really have much of a case, because you won’t very easily be able to prove these things that I’m discussing. And contacting an attorney does help, because they can guide you in getting this treatment. They might be able to recommend treatment providers as well.