You are trying to run node-gyp rebuild in current working directory (CWD) /usr/local/bin so the node-gyp can not find binding at /usr/local/bin/binding.gyp.
Navigate your terminal to a directory which contains NodeJS module and only then run node-gyp rebuild.
cd ~/Projects/your-nodejs-native-module/
node-gyp rebuild
BTW I am not sure from which node version exactly but in modern versions, you can just run npm install in this directory and npm will run node-gyp rebuild for you.
cd ~/Projects/your-nodejs-native-module/
npm install