How should I write my CV for freelance work in proofreading and editing with little to almost no experience?

First try to get some experience by offering your services for free to your friends or contacts that need proofreading and editing work. Use those completed projects as experience on your CV. The functional type CV is best for freelance work as it enables you to group the completed projects in relevant categories. If you apply for a specific job, find out what the requirements are and adapt your objective section and profile to the job description.