Here in the US, the typical flow is that you'll be seated at the table with menus, and then the waiter will leave to get some waters. When they return and fill your glasses, they'll ask if you want to order any drinks, and regardless of whether you order anything besides water, they'll ensure that your glass of water is never empty.

However, I think California passed a law to require restaurants to only provide water when asked, but that might only be when there's a drought and a need to conserve potable water supplies.