1.  to do => to do it.
2.  to come => come 
3. is => Does 
4. bring  => to bring 

Certainly, here are the corrections for the sentences:

1. I don't want to get up early tomorrow, but I have to do it.
2. Employees needn't to come to work on the holiday.
3. Is anyone need to hear the instructions again? (Correction: Does anyone need to hear the instructions again?)
4. You didn't need bring me a gift—thank you so much! (Correction: You didn't need to bring me a gift—thank you so much!)