My son was a good sleeper during the day as well (as are many newborns). My pediatrician advised us not to let him sleep more than 4 hours during the day - to keep him from getting his days and nights confused. This worked great for us. I swaddled him for naps and night time, so when waking him during the day, I just unswaddled him. I encouraged a regular bed time by making sure he was awake for approximately 2 hours prior to putting him down for the night - which was about 9:00/9:30pm - so I could get the maximum amount of sleep possible. When she starts sleeping for longer stretches, you can try putting her down around 7pm.
Regarding constant nursing - it sounds like you have nursed before, so you are probably aware of when you supply is ample, versus sparse and when she's eating versus nibbling, however, sometimes constant nursing means that your supply is low - it should be higher at night; however, that is only if you are getting sleep. My supply suffered in the beginning because my son was always so sleepy (suck suck snooze). Anyhow, as long as you are getting some sleep, drinking plenty of water, not drinking caffeine and don't have any health issues, such as low iron - the constant nursing should be beneficial to your supply.