Hi @moryfranklin22,
From the tracelog it looks like the command was called outside of the q2studio directory, as it was unable to find the package.json file. If you're following the install instructions on the docs, then the step that seems to have been missed is the cd q2studio-0.0.6 from the first command block. If that is the case then the installation steps before calling npm start would have to be ran again inside of the q2studio directory that was extracted.
Hope this helps!