Girona indeed failed to win in their first match but a draw is not a bad start either, especially since that 1 point is obtained through an away match. But I also agree with you, if Girona cannot improve their performance, then this will be a tough season for them because they will not only compete in La Liga but also have to play in the Champions League. With their current level and performance, it's still not enough to keep them safe in the Champions League.
Girona's results in La Liga last year were exceptional, because due to their budget and population size, it is not normal for them to fight for the top positions, and they were normally a second division team. We had a similar case years ago with Deportivo de La Coruña, now in the second division, but who shone and managed to win a league and two Copa del Rey.