In Turku the housing situation is quite good, and the standard of housing is high. The offer for housing depends on your status at the university. For students, subsidised housing alternatives are on offer by Student Housing Foundation TYS, and Retrodorm. If your are a visiting scholar, the market is different, and rents are higher. Please note also that furnished flats are rare, and especially expensive.
Normally, rent includes heating, but not necessarily water and electricity. In student flats wireless internet is available, but not necessarily included to all housing alternatives.