No, this is completely wrong. Free/libre software is distinguished from "gratis" software, such as demos or shareware. Any software that is freely available for users to legally modify and redistribute however they see fit, under the same license or some other, is free software.
Examples of non-free software are shareware like WinRar, software only available for non-commercial use like OMNeT++ [0], and (slightly more controversially) things like ElasticSearch or MongoDB.
It's not completely wrong ... how rude. Shareware isn't even open source, generally, and it certainly isn't gratis--you have to pay for it, or at least should, and there are often restrictions or time limits if you don't. Again, the "free" in "free software" refers to freedom, not free beer.
https://www.gnu.org/philosophy/free-sw.html
> “Free software” means software that respects users' freedom and community. Roughly, it means that the users have the freedom to run, copy, distribute, study, change and improve the software. Thus, “free software” is a matter of liberty, not price. To understand the concept, you should think of “free” as in “free speech,” not as in “free beer.” We sometimes call it “libre software,” borrowing the French or Spanish word for “free” as in freedom, to show we do not mean the software is gratis.
And
> “Open source” is something different: it has a very different philosophy based on different values. Its practical definition is different too, but nearly all open source programs are in fact free. We explain the difference in Why “Open Source” misses the point of Free Software.
etc.