I created for you a custom event filter which lists events when the computer was powered on or returned from hibernate or standby. Open Event Viewer, click 'Create Custom View' and set the same as below to recreate it:
Here's an example of its output:
The 'Dhcp-client' source event is an actual full boot start-up, the others are returns from standby or hibernate.
It should also be possible to extract this data by command line, but I'm not clear if this is what you wanted.