Bring your own device and privacy

Hi,

Does anyone know how much your IT department can monitor your phone if you have Lotus notes work emails attached to your Iphone, I do not have access to their wifi, i would like to know if i surfed the net on my phone on my own wifi at home with private surfing switched on, can my IT see what I have looked out or is the Lotus Notes connection just for Calandar, email and contacts?