They are tracking every single hour of every day to see if you are working, and what you are specifically doing has to align with management.
Complete and utter lack of vision, oversight or leadership.
You are required to be available for work and communication in every night and every weekend.
Even though this is a "early-stage startup", you will be held responsible for every task, even the ones that are not on your application at all, or ones you feel are not suited for your skills.
I have worked in a lot of start-ups, big and small, and I have never seen this before, please do yourself a favor and work somewhere else.