I would like to know how many libraries are in Finland: public libraries, university libraries, school libraries and government libraries. Thank you

In 2002 there were 1178 public libraries in Finland of which 431 were main libraries, 463 branch libraries, 92 hospital libraries and 192 mobile libraries.
http://tilastot.kirjastot.fi/?langId=en

According to the "Guide to the Scientific Libraries in Finland" there are 846 scientific libraries in Finland. You can visit library-webpages via Gateway to Finnish Research Libraries. (e. g university libraries and special libraries are listed separately)
http://www.lib.helsinki.fi/tilke/indexeng.html
All names of scientific libraries are listed behind the link "Guide to the Scientific Libraries in Finland". Just click "search".

There is no statistical information available about schoollibraries in Finland. In 2000 there were 3 986 comprehensie schools in Finland. Quality standard of schoollibraries can vary very much. Many schools use public libraries.

information about public libraries in Finland:
http://www.libraries.fi/default.asp?_item_id=249&_lang_id=EN