orcishgamer: Steam says I own it for some reason or another (DOTA2, not DOTA). I'm not sure why other than I might have purchased the Valve Complete Pack at some point...
You probably acquired a key from a survey, or it may be added temporarily due to the current halloween event. If it is the latter, probably just the spectator mode, not the full thing.
langurmonkey: WTF is DOTA? I've heard of it many times but don't know what it really is other than some mod for Warcraft 3. Do I need Warcraft 3 in order to play DOTA? What about DOTA 2? In the future, will I need Warcraft 3 in order to play DOTA 2? Please share with this curious monkey, your knowledge of DOTA and DOTA 2...
It was originally a map for Warcraft 3, changing the way the game played. In the map, there are 3 "lanes" where a bunch of low level units advance, in order to destroy the other team's structures. Players are in control of a single hero unit with different skills, that are used to accompany/lead/escort the AI units to those structures, and or kill those structures. At the same time, the enemy team is doing the same, so you have to defend your structures while trying to destroy those. In the non-"lane" areas there are neutral mobs that can be killed either for experience or gold, as there are items that can be acquired that will help you, and levelling up gives access to new skills.
There are several clones of that map, now made into fullblown titles, either with the same basic gameplay and style (League of Legends, Heroes of Newerth, DOTA2), or mixing it up, like SMITE where it is also a third person shooter.
You need to have Warcraft 3 for the original DOTA. DOTA2 was made by Valve and runs on the Source engine, so you don't need WC3. The other ones are also standalone.