the IRS considers that when you are self-employed - that's why you got the 1099-NEC - you are engaged in a business
Yes you are the owner of your own self employment business. You are in business for yourself. Use your own info. The people or company that pays you is your customer or client. You need to fill out schedule C for self employment business income. You are considered to have your own business for it. YOU are the business.
To report your self employment income you will fill out schedule C in your personal 1040 tax return and pay SE self employment Tax. You can enter Self Employment Income into Online Deluxe or Premier but if you have any expenses you will have to upgrade to the Self Employed version. How to enter self employment income