Hope you are doing good,
Manisha this side,
You don’t need to register separately for proprietorship.
Getting GST number would be enough. When you are applied for GST number you already mentioned your company name i.e legal name of the business and this will be itself kind of proprietorship company registration. In some state such as Maharashtra, Madhya Pradesh, and Gujrat your CA may ask for Gomasta or Shop act although this is not required during GST process still if they are asking you can go for it.
In nutshell, in case of a proprietorship, you don’t need to register your company name anywhere.