Is the game available to play now or was it just for the beta weekend i'm confused and i want play i miss the world of pso

No. We are still waiting for the announcement for Open Beta. The last beta was just a limited time Closed Beta period. I would keep up to date for the announcement here or on their twitter for best updates: https://twitter.com/play_pso2

The game will be launching this Spring, what you played was the game's Closed Beta which was the Weekend only. Open Beta had been confirmed and is what we are waiting for right now so stay tuned to the social media (or the Twitter widget in this website) for more information.