OP I know how it feels to graduate with a 2:2, I found myself in the same situation this year actually. It can be disheartening to come out at graduation with one but this time is crucial and what you do with it speaks volumes. Also note that 80% of jobs are NOT advertised, so you can create a vacancy for yourself if you are willing to put in the work.
I do not know what career path you want to go down, but amass some sort of practical knowledge in that field to make up for a lack of experience (if this is the case) WHILE progressing with your job hunt. If you are changing career paths do a coursera/edX online course. And create a SOLID cv through your university career service or a friend/family member who has it together, and get this reviewed by as many people as you possibly can.
You also need to a build a network once you have your career goal in mind, set up a LinkedIn and use the search function to connect with alumni from your university that are in a position (masters, grad job, etc.) that you are eyeing and drop them a message. Find as many people as you can that you are genuinely willing to speak to and learn from, you never know what doors these can open. They can even refer you in applications if you get on well.
Make a profile on more progressive career search apps and websites such as Debut (app) and Magnet.me - engage with the recruiters there.
Please ignore what people say about graduate schemes being out of reach for you. I have received offers from some incredible companies after graduation with a shamefully low 2:2. Here are Graduate Schemes that accept 2:2s: EY, Lloyds Insurance, Lloyds Bank, Wellcome Trust (multiple streams), Civil Service Fast Stream, Bloomberg, Google, numerous London based start-ups (Talentpool is a great platform), Unilever, Enterprise Rent-a-car, Edelman, Network Rail