Open access (OA) generally refers to information and publications that are freely available online. Open access scholarly works are free of charge for readers and are published under less restrictive copyright.
Yes, there are three main types of open access materials.
Green OA: the author is allowed to self-archive a copy of their work (such as in an institutional repository). There are usually restrictions on which version of the work is allowed to be archived (preprint vs postprint vs final).
Gold OA: publishing in an open access journal. The author retrains copyright of the work.
Hybrid: when a journal includes both OA and fee based articles. Authors have the option to pay a fee to have their article OA.
Simple answer: usually yes. Open access work is not free to produce; however, the mission of OA is reduce the burden to readers and create similar access to scholarly work.