Hiya - sorry for being jargony. There's nothing to 'get' as these are just personal terms really so my fault for confusing you!
Play would go like this:
Independent play:
This allows you to get on with jobs and stuff for the day and is a goof time to use the baby gym or similar. It works well to begin the morning like this after the morning milk when she is feeling content and alert and is not needy of your attention.
The reflective part might be things like allowing her to talk to the ceiling or the curtains or investigate objects independently. This is a good time for babies to consolidate their learning. So long as you are keeoing an eye on her she will be quite happy playing alone for a while.
Busy, carer-led play:
This play comes after the independent time and when you have finished doing the things you need to do so that you have the space to focus on your daughter fully.
This type of play might be some rough and tumble, a visit somewhere new, playing with a toy together or a sing song session with her on your knee and actions. Anything that gets her focused, stimulated and thinking. When she is older you can include thing s like a walk together or drawing or painting, etc.
One to one cuddly play:
This isn't part of the bedtime routine but it is a bit of a pre-sleep wind down. You keep your daughter close and chat or sing quietly with her, cuddling her and making lots of physical contact and eye contact. Maybe looking out of the window together and talking about what you see in a quiet way, maybe a lullaby or two or a story to share. After this you can change her nappy and feed her before you think about putting her down to sleep.
You can also use independent play at this point sometimes but it needs to be quiet, like the reflective play described above and not too busy. If you use TV or DVDs these could be used now - it depends on your day and your need to have some time to get things done too!
Hope that helps.