Can I consolidate my reputation from that site to this?
No. Every Stack site carries its own reputation for your account. This is simply because you can be an expert on cooking, but at the same time have not a single clue about programming.
Since reputation shows how much the community trusts you and how useful your posts are, it is not shared and transferred between sites.
However, if you get 200 reputation on one site, all other accounts on the Stack Exchange network that are linked to this one will automatically get an "association bonus", which means you can start out with 101 reputation rather than 1. This is because we can now trust you to use the site as it was intended, and therefore unlock certain privileges.
Are you also owned by the same people? Are you managed by the same managers?
Yes. Stack Exchange was founded after Jeff Atwood and Joel Spolsky created Stack Overflow. Soon thereafter Server Fault and Super User followed. This is called the "trilogy" of initial sites. For more, see: http://stackexchange.com/about
Today, Stack Exchange comprises a large number of sites that all are managed by a core team and community moderators.
What's your business model? Is there a "for pay" section?
No. There will never be. Stack Exchange was founded with the idea of being free for everyone to use.
Ads are being shown to all users, albeit with more reputation, ads will become less intrusive.