New Plant

Recently my grandpa passed way and where I work was kind enough to send me a plant in condolence. I have had this plant, which I do not know the name of, for about three or four weeks now. Needless to say I do not have a green thumb and unfortunately I seem to be killing off this plant. :( I water the plant even keep a watering globe in the plant, which is suppose to water as needed. Even though I am trying really hard to keep it alive the leaves just keep falling off.