There needs to be a distinction between the theory and the practice/reality, as with every -ism/-archy out there (e.g. Anarchy - the absence of a central, powerful state if very different in theory and reality.)
In theory the Patriarchy is composed of the structures in society that preference men over women - to pick a couple of examples, the way certain jobs/roles are reserved for men (Catholic priests, front line soldiers, freemasons) or the way barriers are imposed to prevent women advancing in certain fields. These can be legal, practical, mental, physical or social barriers - the most obvious example being motherhood/maternity leave/preconceptions about a mother's commitment to her job. This does not represent a conspiracy per se, rather the result of repeated pattern of elites wanting to restrict entry into their circles and thus safeguard their position. The reason why the Patriarchy has outlasted, say, apartheid or anti-Catholic discrimination in the UK, is because there has always been the probability that you husband might be the enemy - and marriage has also provided some women with a shortcut to (nearly-)elite status.
In practice the Patriarchy is not a monolithic conspiracy maintained by the establishment, but an intricate network of related conceptions of men and women that varies from individual to individual. Thus the Patriarchy is manifested in every single relationship you have ever had, or ever will have, with a man. Ever. So for some women, the Patriarchy is very much in the deep background and perhaps only comes to the fore when you go to see a Disney movie or tell your boss you're pregnant, whereas for others it is very much in the foreground, so much so you can't see it, it is so all encompassing. (the women of Saudi Arabia spring to mind - there it is fair to say the Patriarchy is a conspiracy). Misogyny, domestic violence, sexual abuse, rape - these are all the blunt tools of the Patriarchy, usually (though not exclusively) used by men who are not members of the elite and thus, because they have less status to lose, guard what little they have with even greater, and more violent, jealousy. The higher up you move, the more sophisticated, less overt and less conscious the discrimination becomes.
You will come into contact with the Patriarchy on a daily basis (without even needing to meet, see or speak to a man), just as you come into contact with Racism every time you use or hear a phrase like "the pot calling the kettle black" - it's often so subtle you just don't notice it.