Will everyone know what's happened and what you've done/not done? Is Monday the first time you will have seen them since it's happened? Is it something that will directly impact lots of the other workers?
If it's all still being dealt with by management, I would probably avoid saying too much to other people until it has all been formally discussed and sorted.
A brief aclknowledgement, that somethings happened and it's difficult and you're sorry wouldn't go amiss. Avoiding getting drawn into gossip, speculation and nosy questions by others is good. It helps to be able to say that the boss is looking into it all and until that's all finished, you shouldn't say too much, but acknowledge something has gone wrong, and you're sorry for the impact of it, and finding it difficult yourself.
It all depends on how much others know, and if it has a direct impact on them and how serious really.
Yes, it would be a good idea to see the manager first thing or even to email today. Again, voice regret at what's happened and take responsibility if it clearly was your fault. Say that you know colleagues will be interested in what has happened (if you are uncertain about what they know, you could say this and ask, so that you know how to behave, and ask if there is anything the manager would like you to say or not say to the other colleagues, so you know how to handle being in the office. That way, you ar taking the lead from them and accepting their authority over the matter, which is a responsible way to handle it. Finish by expressing further regret and desire to co-operate in the next stages. Perhaps ask if they would like you to come and see them first thing in the morning, or if you feel it would help, ask if you can pop in before work starts to discuss how they want you to handle colleagues.
It's hard to keep perspective with these things and it can feel totally out of control. If you email your Boss today with these kind of things, you are starting to take a bit of control back about it all and I think this will make you feel better. After the first day, that huge uncertainty about other people will pass. You just have to get past that day and gathering some info by emailing/meeting your boss will help with that.