OWNERS MANUAL. There is no simple answer to this question which you will see when you consult your manual. If you don't have one, check eBay. You NEED an owner's manual. Oil "type", whatever you intend that to mean, is different depending on how, when and where you drive your car.
The 2009 Subaru Forester has single overhead cam (SOHC).
The 2002 Subaru Forester has single overhead cam (SOHC).
The 2005 Subaru Forester has single overhead cam (SOHC).
The 2008 Subaru Forester has single overhead cam (SOHC).
The 2010 Subaru Forester has single overhead cam (SOHC).
The 2007 Subaru Forester has single overhead cam (SOHC).
The 2006 Subaru Forester has single overhead cam (SOHC).
The 2013 Subaru Forester has double overhead cam (DOHC).
The 2012 Subaru Forester has double overhead cam (DOHC).
The 2011 Subaru Forester has double overhead cam (DOHC).
The 2003 Subaru Forester has single overhead cam (SOHC).
The 2001 Subaru Forester has single overhead cam (SOHC).