If you want to start a non-profit in the US, you incorporate as a 501(c)(3)
like the Free Software Foundation (https://www.fsf.org/about/financial) or as
501(c)(6) depending on your needs.
Technically, the Mozilla Foundation is also a 501(c)(3)
(https://www.mozilla.org/en-US/about/governance/organizations/) but they use
it entirely to fund the Mozilla Corporation.
It will be like a normal company and although it is non-profit, you may need
at least 3 employees on a salary that is minimum wage or higher.