First of all, be kind to yourself, of course you are upset. I know you are worried about the future, but your redundancy should allow a few small treats, preferably those that make you feel better- a meal with a friend, an outing somewhere that you will enjoy, possibly a visit to the hairdresser? Whatever suits you.
Allow yourself to feel rather shocked and upset for a little while - rather like having a good cry, better to go with it and come out the other side feeling better, than to waste energy fighting it.
Secondly, gov.uk is your friend. There is your information about applying for Job Seekers' Allowance (including rules about volunteering), your State Pension forecast etc. I think it all set out very clearly.
If you remain unsure, because of all the variables, then find out what help is available locally. As it varies, it is difficult to say whether CAB, local Law Centre or similar would be best for you, but the place to find out is your local library. Walk in and ask, they are very used to it. I am assuming you are not in a union, as that would have been your first port of call. Another source of help is Cruse, the bereavement charity.
Look at that information before thinking about what to do next, as I think the information will help you decide.
Do you go over to Money Saving Expert? I am a huge fan, the site is full of tips for saving money and living on a small income. I don't know where you live, but I ind there are lots of free / cheap activities if you look at your Council's website, visit the library, look on local noticeboards etc.
And, it may sound trite, but do get out for some fresh air and exercise. Look for local Health Walks if you prefer company.