Anyone who owns a business and a website needs some sort of marketing materials created for them. That's where you as a freelance writer and copywriter can come in. Unless the entrepreneur is also gifted at writing, they may welcome your help to create catchy ads for their marketing efforts online.
Many businesses use Google Adsense to draw customers to their websites, so sometimes the ads you'll need to create are very short. When ads are this short, it means that the words need to be utilized to their best effect: ie, these ads need to be punchy!
Contact some website owners with a brief email enquiring whether they need help creating ads. After only sending out a few emails, you may very well land yourself some new copywriting assignments that pay quickly!
If it's your goal to become a full-time copywriter, writing small ads for businesses is an excellent way to get started. They don't care if you have a lot of experience writing copy, they only care that your words draw people in and turn into sales. Prove that you can write copy that sells, and you'll have a regular client. And hey, that turns into a regular paycheck, which is something all of us writers dearly appreciate.