Hi Joyce Sims,
Greetings.
It sounds like you have the Editor/Author permission level, in this case, you can create tasks directly in Calendar. Reference for you: Allow someone else to manage your mail and calendar - Office Support (microsoft.com)
If you still cannot add events to your Boss’s calendar, I suggest you forward this meetings request email to your boss, after the boss clicks to accept the meeting, the meeting will be added to the calendar.
Welcome back to us if there are any queries.
Thanks,
Linda