Do you have a specific idea of the type of work you would like to do on a newspaper or are you simply interested in a media career? Deciding this is important because there are many different media positions one could have on a newspaper and you will want to focus on your particular area of interest.
A good place to start would be recruitment agencies or employment agencies, particularly those that specialize in media recruitment. They will want you to provide them with your resume and will probably have questions for you regarding your specific interests and experience. Some of them will want you to work specifically with them and others do not mind if you use other agencies. Some of them will charge a fee for their services and some will not. Find out all this information up front.
Another good way to seek media employment is to ask around your circle of friends. Does anyone you know do media work or have a media career? Does anyone they know? Many people find work through their social network.
Check the newspaper, especially the newspaper you are interested in working for, to see if they have any media vacancies.
When you find a job listing or hear about an opportunity that sounds right for you respond to it as soon as possible. It is a competitive job market with many people looking for work so make sure you are getting your resume to prospective employers and communicating with them in a timely manner. Good luck!