Hi Rebecca
Try the following for some social activities with your little one...
www.citymom.ch has details of a Mums and Mums To Be Coffee Morning (as well as other events) in central Lausanne (I don't go as it clashes with naptime but have a few friends who do)
Also
www.valleedelajeunesse.ch is a fantastic place, lots of anglophones and a little corner for babies
Kidspace is another popular one but possibly more for toddlers, I think they run the Kindermusik classes there though
www.kidspace.ch
Hope this is helpful. Good Luck!