Hello @aranchini,
We've just started using the GroClock again recently as DS2 4 years old would be awake first and yell at his older brother "What time is it?" Waking everyone up in the house regularly between 6am and 6:30am! Too early!
DS2 is learning to read clocks now. We are teaching him at home but he's a bit young so the GroClock works really well because it changes colour when he can come and say good morning to us and it also "counts down" by displaying a number of stars on the face of the clock until it changes colour for the day.
We implemented it by first explaining what we wanted him to do: come say good morning when the colour on the clock changes. Before the colour changes, he is to be quiet and not wake anyone up. He can do this by looking at books or playing with quiet toys. He can get dressed for the day, he can make his bed, etc. Give lots of options. He's allowed to be in other places in the house so long as I don't hear him. He will go and sit on his bean bag or to his play room. Sometimes, he will get his breakfast out of the fridge on his own and eat it at the table. Breakfast is prepared ahead of time and served in a plastic container with lid.
I remind him every night before he goes to sleep what I expect and what reward he gets for doing as he's asked.
If he's done as he's asked, he gets a reward (ie chocolate chip). If I've heard him in the morning, no reward. (i.e. If he's woken me and husband, but it's not screaming or waking up his brother - I'd say DS2 doesn't have very good volume control in general)
If he's too loud in the morning and screaming, I will get up and go to his room and tell him firmly to be quiet. I then say he's not getting his reward today and if I have to come and remind him again then he loses privileges in the evening after school (like 1 of his 2 stories at bedtime, or 30 minutes less of TV or dessert, if there is any. If there are any particular chores around the house that she doesn't like doing... Be creative!) I agree, time outs may be difficult to implement at this time of the day.
It took my DS2 about 2 weeks to catch on to the new regime. He's not screamed "What time is it?" in about 4 weeks. I've not had to leave my room to remind him to be quiet in that time either. At the beginning I was going out regularly to remind him to be quiet.
I also think this won't work if she is getting up any earlier that 6am. I think that expecting them to hang out on their own for more than an hour is not reasonable. If she is up before 6am, it may be worth looking at her nap and bed times to see if you can get her to wake at 6:15 or 6:30am. Then she's only 30-45 minutes quiet on her own.