Rails expects table names to match model names but be plural and snake_case. For example, a User model will store records in a users table and a BlogEntry model will store records in a blog_entries table.
Rails expects a table's primary key to be named id and it expects foreign keys to match model names but be snake_case and end with _id. For example, if BlogEntry belongs_to User, Rails will expect the blog_entries table to have a user_id column.
Join tables (such as used with many-to-many relations) are expected to be named with the two models' names in plural snake case and alphabetical order. For example, a join table describing a many-to-many relation between a User model and a Blog model would be expected to have the name blogs_users and have, at the least, the columns blog_id and user_id.
Those are the basics. Of course, all of this is configurable: For example, you can use the table_name class method to tell a model to use a table with a different name, and the relation methods (belongs_to, has_many, etc.) all take options letting you specify different names.
Apart from these naming conventions Rails doesn't require anything special from a database, as long as the correct credentials and configuration are specified in config/database.yml.
rake db:create