To borrow books and other materials from OSU Libraries or other libraries, you need to go through your local public library.
The staff there will be willing and able to help find what you need. Check with them regarding borrowing and interlibrary loan privileges. Some libraries may charge for interlibrary loan services.
While you won't have access to the OSU databases off campus, there are many free sources you can use to find books and articles on a topic. Below are some sources you can use to find books and articles on a variety of topics.
WorldCat - a database of books and articles held by libraries around the United States and some international libraries. Search Worldcat to find out what's been published in your area and request the items through your public library's interlibrary loan service.
Google Scholar - A subset of Google that searches for more scholarly materials such as articles and books. Some articles may be available online for free but others you will need to request through your public library's interlibrary loan service.