Do agencies let you know about the job before they book you?

Hi, I am just getting into modeling with no experience, and recently a small agency offered me to sign an exclusive contract. In the contract, it says they have the right to book jobs on behalf of me and I can’t just cancel them after the booking is completed. (The contract is not in English, so that’s not the exact sentence.) I asked if they can tell me what the job is about and the schedule before they book anything. And they basically said no because it is too much workload to ask me everytime. They told me they will make sure to understand what I’m uncomfortable with and not sign me up for those things.

Is this normal in modeling industry? I am a bit worried because what if they sign me up for something thinking it’s okay for me but it wasn’t? I have no experience, so I don’t even know what I can do and cannot do. Also, I am working part time too. Even though my part-time job is relatively flexible, if I can’t miss my work that day, I just can’t do it.

Should I keep negotiating about this or is it part of the job as a model?