What does "like" mean in "What’s your schedule like next week?"
Can I say that without ‘LIKE’?
To be like X means to be similar to X or to have many attributes in common with X.
Asking what X is like means you want a summary or overview of X, and not the exact X.
Examples:
Q: What’s your schedule like next week?
A: I have a lot of free time and I can be flexible.
versus
Q: What's your schedule next week?
A: Available 10a-5p M-F, except Tuesday from 3p-4p.