You won`t be able to travel without your covid pass.
You won`t be able to shop without your covid pass.
Obviously this will vary country by country (and likely also within countries), with some stricter than others. But if the vaccine prevents transmission as well as infection, then it does make perfect sense to have restrictions for unvaccinated people, who could be carriers and be infecting others. Particularly if the people without the Covid pass are those who have actively refused the vaccine, and are disproportionately likely to not wear masks or conform to social distancing measures.
Indeed, especially to those whose main reason for not getting vaccinated is because of some conspiracy ideas that is really illogical and quite ambiguous tbh. And also to those who violates the rules and regulations for freedom, while living in a democratic country binded by the constitution.