After writing my post yesterday about going to the temple, I saw this great article written by someone not of my faith who had visited a temple open house in Missouri. (A Female Episcopal Priest Visits a Mormon Temple). The article has a good perspective, and includes pictures of the inside of the temple.
When a new temple is built, or after renovations are done on older temples, they are opened to the public to tour. There are several new temples being built around the world (new temple announcements).
This video explains why The Church of Jesus Christ of Latter-day Saints build temples. I hope that you will be able to visit a temple during an open house in your area.
After the temple open house, a dedicatory prayer is offered by the President of the Church or his counselors to dedicate the temple to God for service. After a temple is dedicated, all active members of the church are invited to enter often to participate in the services there.
Again, you can learn more about temples at lds.org, or attend a Sunday service (separate from temple service) (meetinghouse locator), or contact a representative of the church (mormon.org).