In addition to releasing a second public beta of iOS 10, macOS Sierra Public Beta 2 is now also available to those signed on the Apple Beta Software Program.
The third beta of Sierra was seeded to Apple's registered developers two days ago, and now public beta testers can take it for a spin (public beta 2 and developer beta 3 offer the same features).
The update should appear as an over-the-air download via the Software Update mechanism through the Mac App Store's Updates tab on Macs that run the first public beta and are enrolled in Apple's program.