So you paying for the SaaS service (my point 1). But in this case you are not paying for the software Limesurvey itself, but rather for someone providing you with a running LS installation, hosting, updating, administration, etc. I guess part of the money also goes into developing Limesurvey. Somehow the developers need to eat. Sometimes.
If you run your own Limesurvey installation you need a server/infrastructure, someone to take care of the server, its security, you need to update (server and Limesurvey), you need to administer, etc. So while the software is free, you still have costs of course.
There are advantages and disadvantages to both approaches.
You'll find the information about open source on exactly the same website you cited, limesurey.org on the bottom right, where the link to this forum is...
And yes, the Limesurvey GmbH SaaS service also gives you a free hosted account to test and play around. It is not very usable for production due to the 25 responses/month which is too low for most real projects, but it allows you to test every feature that Limesurvey offers, there is no limitation in features, which I think is great to get familiar with Limesurvey.
OpenSource also doesn't always mean "free of charge" (though with Limesurvey it does). There are other advantages to open source than "no license costs".