I didn't see any benchmarks on the linked to page. I tried their sample Fibonacci program, but up to 100000 and ONLY timing actual execution (using the time Python module) to not include startup time, and WebVM only took 6.7 times as long as native for me. That's very impressive.
There's a similar open source project called https://copy.sh/v86/. Using their arch Linux image with the exact same Fibonacci benchmark, it take 44 times as long as native.