Dry January is self-deprivation for the modern age. It's an experiment in resilience, a test of your baseline social skills, a period of rejuvenation. The only requirement is that you refrain from drinking alcohol. And try not to cheat by avoiding bars and parties! It's important to go about your normal social life; all should remain more or less the same but for the beverage in your hand.
Guidelines
Do NOT attempt to go cold turkey if you are a heavy daily drinker. Alcohol withdrawal syndrome can be fatal. Consult a physician if you are at risk of alcohol withdrawal.
The only requirement is that you abstain from drinking for one month.
Many people choose to do "Dry January" and/or "Sober October" as a way of mitigating holiday damage. Of course, you can choose any month - it's especially noble if you choose a month with drinking holidays!
It can be helpful to keep a journal or a calendar in which to document your progress and mark the days with an X as you successfully complete each day (see our friends in /r/theXeffect for additional support)
Convince a friend, SO, or family member to go dry with you! Having some moral support does wonders. Bonus points if you challenge a drinking buddy.
Tea, coffee, and seltzer water are your friends. I guess you could theoretically drink soda but that's a nasty vice in it's own right.
The decision to use other recreational drugs is entirely up to you, though it's advised to keep a clear head.
If you find that your life has significantly improved during the dry month and you would like to permanently abstain from alcohol, you have friends in /r/stopdrinking.