nope The free demo includes the first three missions of the campaign as well as a Terran vs. Terran skirmish mode versus the AI. The demo is playable offline and does not require a Battle.net account to try. It is currently limited to the US English version of the game, but additional languages are coming.
The guest pass access includes the full game, but is limited to 7 hours of gameplay or 14 days since activation, whichever comes first. The demo is unlimited, but features a small subset of the content in the game.