As we wait for perhaps more clarification on the question, I'll attempt an answer anyway and edit later if need be:
No, it can't be said so broadly that "Mormons are socialists," but yes, they do "give their money to poor ones."
You might as well be asking, "Is the Red Cross socialist?" "Is the United Way socialist?" "Is the Ronald McDonald House socialist?" "Are every charitable, Christian people socialist?" All these "give their money to poor ones." With that qualifier, they seem socialist as well.
Jesus teaches that we should be generous and give of what we have to the poor. As far as I know, this is a universal concept among Christian denominations: that what we lose, we gain, and when we give charitably, we lay up store in heaven.
Mormons are often known to give quite generously and are encouraged to live the law of consecration, especially among their own people. If you've been blessed with prosperity or surplus of a particular resource, then you will be blessed more by giving it away with gladness of heart.
That's individualistic. The LDS Church as a whole is known for their humanitarian aid and other efforts (see also this article), much like other non-profit organizations. They also encourage welfare and self-reliance among members and neighbors.
Politically, the LDS Church stands neutral but encourages its members everywhere to be actively and appropriately involved in political process. Thus, societies are improved as governments adopt, through some sort of democratic or republic process, policies and procedures which are in harmony with gospel teachings, creating a better world.
In summary, it is too general to say that "Mormons are socialists" by itself and still be fair and accurate, but some of what Mormons and other Christian groups do exhibits some similarity to "socialism," in that goods are distributed among those who are in need. Beyond that, though, there's no political agendas at a Church level, and I have found individuals in the LDS Church to be generous in giving to the poor and needy.