There is plenty of Polish press on the internet. Here are some links that should lead to you a wide variety of publications, from the major national publications to the local press.
For a list of Polish press in English, check out world-newspapers.com.
Poland is investing heavily in the development of digital libraries (biblioteki cyfrowe). For a virtual library which will give you access to over 600,000 works residing on the servers of Polish libraries, visit the site which allows you to search them all simultaneously: Federacja Polskich Bibliotek Cyfrowych.
Another site that gives you an overview of major Polish digital libraries is NuKat, the Union Catalog of Polish Research Libraries Collections.