By and large, were a capitalist country. If youre looking for socialist countries, you should rather think of South American countries such as Venezuela or Bolivia, where the state has, or attempts to have, full control over the economy.
There is no such attempt by the Norwegian government. Anyone can start their own company, and the overall economy is dictated by the market. As in most western countries, personal liberty is held to be of very high importance.
However, there is also an important cultural principle in Norway that everyone should be taken care of. Solidarity with its people, rich or poor, is in many Norwegians minds an important task of the state. I will stress again, however, that this does not mean that we are a socialist country. It is simply part of our culture, and it bleeds into policy decisions taken by the state. For example, anyone can get generous loans to get take higher education, regardless of their parents background, and health care is affordable (though not free except in certain circumstances, which is a common misconception). Of course, such policies must be financed through relatively high taxes, mostly for the rich (which is deemed fair).
None of this involves the government controlling or planning the economy. It is simply a way for the state to use the benefits of the capitalist economy to help people regardless of background, ensuring - or at least trying to - a decent standard of living for all.
The closest we come to socialism is that the state partly or fully owns a few companies that are deemed especially important for the development of the Norwegian state. Examples are Statoil, the national oil company, NRK, the national broadcaster (similar to BBC), and NSB, the national rail.
~95% of industries are ruled by capitalism, however. We just use the benefits of those markets in a slightly different way than other prominent Western nations, due to the large role solidarity plays in our culture.