In high school, I had to get up relatively early and the resulting slight lack of sleep during the week meant that I could generally fall asleep in 7 minutes or less. Today, I get more rest so it usually takes about 15 minutes to fall asleep each night, and more during summer months, when I get more sleep than I probably need. I rarely remember dreams.
Napping doesn't usually work well for me--I get very disoriented--but I suppose I haven't had much practice. I'm about to go to sleep right now and am looking forward to it.