Manage Category

1: Add New category

Products >> Categories >> Add New

Add Category in backend

2: Display Category

2.1) Add Category to Menu

Go to Appearance >> Menus

2.2) Get a link of Category

go to Products >> Categories >> Choose a category to get link

2.3) Display category template at frontend

You can change layout of category in Customizer. Read here

You can change setting for Search Form in Customizer. Read here

3) Customize archive/category template

Read here