
Web Designers, according to Glassdoor, average a salary of $62,937 a year at the start of their career track.
Jobs adjacent to Web Design, such as Front End Web Developer, have a median pay of $93,462.
A good summary of Web Design Job responsibilities can be found here.
Web Design Career Path
A Web Design career path might look something like this, according to Thinkful:
Junior Web Designer>Web Designer>Senior Web Designer>Manager of Web Design>Creative Director/Senior Manager

Once you start doing Website Design, you will want to showcase your best work in your personal portfolio. This is usually a personal website built by the Web Designer, and when applying for jobs it would be either turned in with your resume/CV (curriculum vitae), and/or shown during your interview. Your portfolio will be just as important as any other document you provide. Having that robust portfolio will set you apart from other applicants when you decide to apply to work for a company. Flux Academy has a website with examples of student portfolios, and it goes over why each one is effective.
Many new Website Designers start building their portfolios doing freelance work on websites like Fiverr or Freelancer. Starting local building websites is also a good way to start if you have the opportunity.

Website Design shares skill sets with several other jobs. These jobs include, but are not limited to:
Computer and Information Systems Manager
Database Administrator/Architect
Search Engine Optimization Specialist