Some journals and conferences use double blinding. Not all do. In some, the reviewers can see the names of the authors. In others, the authors can propose reviewers, or ask the someone is excluded from review. Journals and conferences may change their rules from one year to the next.

Anyway the blinding, when it exists, is as much to protect the reviewers from retribution by asshole authors, as it is to avoid biasing the reviewers by the reputation of the authors.