Shaman Tips

Tips

You should cast Searing Totem at the start of the battle, and then cast a direct damage spell (Lightning Bolt) to pull the monster. If the monsters are spell casters, you might want to start off with the spell Earth Shock to prevent them from casting spells (or healing). If you are soloing, you should cast the spell Lightning Shield, make sure your weapon damage buffs are active, and then engage in combat. At some point, you should cast the spell Stoneclaw Totem, which will taunt the monsters off of you, to allow you to attempt to heal yourself, or run away if you're in trouble. You should cast Earthbind Totem to prevent the monster from fleeing or you can try to finish off a running monster with one of the shock spells or your direct damage spell.

You have several planning options from going heavy armor, defense, and defensive talents to focusing more heavily on caster like stats such as mana, spell specialization, and so on.
Shaman with the appropriate talent spec are able to dual-wield. Both main and off-hand weapons can be affected by self-weapon buffs such as Windfury.
Additional Information

Level 58+ Shaman should talk to Sagorne Creststrider in Orgrimmar; there is a special quest for them involving a dreaded death knight who dwells in the depths of the Scholomance.
Profession Options
You can pick whatever you want. You might find these more tailored to the Shaman:
Skinning and Leatherworking - The Shaman can create Leather armor for himself or sell it to others.
Enchanting - Shaman can enchant their equipment to make themselves more powerful.
Herbalism and Alchemy - The Shaman can create buff potions or healing potions.