Your budgie is probably napping during the day when you aren't around. Additionally, she may be asleep and open her eyes as soon as she hears you in the morning. 
You can put your baby budgie to bed earlier than you go to bed. Around 8 PM start a routine of telling her it's time to go to bed now and talk to her as you cover her cage. Then, in the morning, create a little routine as you get her up. I sing "Good morning to the birdies" as I uncover my little ones.
I use a Prevue Hendryx cotton cover on all of my cages both Winter and Summer. I cover the top, three sides and a portion of the cage front each night. I always have a night light on for the budgies to help prevent night frights.

Prevue Bird Cage Covers| Bird Cage Accessories from DrsFosterSmith.com
You can put your baby budgie to bed earlier than you go to bed. Around 8 PM start a routine of telling her it's time to go to bed now and talk to her as you cover her cage. Then, in the morning, create a little routine as you get her up. I sing "Good morning to the birdies" as I uncover my little ones.
I use a Prevue Hendryx cotton cover on all of my cages both Winter and Summer. I cover the top, three sides and a portion of the cage front each night. I always have a night light on for the budgies to help prevent night frights.

Prevue Bird Cage Covers| Bird Cage Accessories from DrsFosterSmith.com