A few points here.
First, and I am just being honest, after I can get the vaccine, once I do get the 2nd dose and the 2 weeks has past, I will try to wear a mask. But, again, just being honest, I know I will become lax about things, as most will. There will be a day I forget to have extra masks in the car or I am a passenger etc. It's just innocent human nature. You may decide to be vigilant about masking after you vax, but most will just forget. Why, well, the danger is past. At least that will be the perception. And that is not accounting for the hatred people have for masking. That's with folks who are masking currently. Add the fact that its such a controversial (and understandably) issue with so many, you know the masks will be off for a large amount of people who are fully vaxed. The combination of these situations will change perceptions and put pressure on retail, businesses and governments to step back a bit on masks. Bay Fan is correct that it is a pain for these store employees to have to police the policy. But I think a lot of stores, instead of doubling down on masking in-store, will see it more easy and beneficial to actually step back and maybe just have signage and messaging to wear masks but stop with pressuring customers. Sort of what you currently see in a lot of gyms around the country. Mask signs but no real policing of the policy once a person has started their workout. A lot of the signage about masking in most gyms is actually very open. It's a "you know the risks and it's your call" sort of messaging and yet the sign will look like it's saying "masks required" but only if you will be within 6 feet with people not in your household. And how do you enforce that? You don't. And that's how they do it.
A lot of this will be regional. I am in TX. I forget a lot of states still haven't opened schools yet. Here, especially in McKinney TX, most retail and businesses are already relaxing policies. Only during peak times are there even greeters at doors offering masks at a lot of retail. You will almost never be approached around here if you choose not to wear one. And given about a 3rd do not, I really do not notice it. Now, other parts of the country will drag their heels about masks, no doubt. California, many eastern states, more "liberal" traditional blue states, if they follow the way that they have been following and implementing policies, will most likely be the last to relax those polices. Here in TX? Outside of maybe certain bigger cities or Austin, we will be some of the first dominoes to fall. It will be interesting to watch how things go around the country as more and more are vaccinated.
But I have no doubt, masks will become less and less worn as more and more get vaccinated. Whether you agree with masking afterward or not, that is just human nature.