“Separate from the Public Test Server beta, Early Access players will receive the full game, play on live servers, and will retain all progression when the game officially launches on June 6. Early Access is available for players who purchase the Digital Upgrade or Digital Collector’s Edition Upgrade versions of ESO: Morrowind for PC/Mac at any time prior to launch, as well as those who purchased the PC/Mac Physical Collector’s Edition.”
And if you do grab the physical box CE, you’ll have to get in touch with customer support to get your head start activated. This sounds like a hassle, so maybe stick to digital.
Everybody else? You’ll be starting on June 6th with the console players. Womp womp.
Source: Press release