A fresh WordPress website won’t show signup option to new users. You have to enable Membership option to show Register/Sign Up option on site.
Please follow below steps:
- Login to the site as admin.
- Go to Administration Panel -> Settings -> General
- Now check Membership option and click on Save Changes as shown below.
- Now you can able to Register option on your website. See below image.
- Now Anonymous Users can access Register/Signup option and create an account on site.