There absolutely is a God. I can't imagine what life would be like without a hope that there is a God and that there is life after we die. What a depressing frame of mind to be in if there was no hope. 
 
Like Diane, who actually happens to be a good friend of mine, I would strongly encourage you to read the Bible. I would also recommend reading in the Book of Mormon. In fact, here is a link to a story in the Book of Mormon of someone who also asked if there was a god. The story is here: Alma 22 
 
In addition to reading - I would also encourage you to pray. In a quiet place, kneel down, and talk to God. Ask him if there is a God and if He loves you. I know He does love you and me and all of His children. 
 
There is purpose to this life. This church has the answers you want and need. You just have to have the desire and ask the questions.