De-facto OSS semantic layer; not end-user UI
Yes, Cube is open source under the Apache-2.0 core / MIT client license.
Cube has a free tier plus paid plans. The open-source version can be self-hosted with no license cost; you pay only for your own infrastructure.
Yes, Cube can be self-hosted (the source is available under the Apache-2.0 core / MIT client license).
De-facto OSS semantic layer; not end-user UI