You are using "free market" as a political term. In that sense, it refers to little more than to the absence of unnecessary regulations.

Economics is more concerned about whether "free market" is a useful description of the system. If there is nothing in principle to prevent the emergence of new competition, but barriers to entry (e.g. availability of capital / talent / machinery / raw materials, long-term contracts, or the time required to set up a new business) make it difficult in practice, the system may not behave like a market. Then you need to focus more on politics, both between and within governments and companies, to understand how the system is actually working.