I expect there'll be some financial political sop for the NHS front line who don't die due to insufficient/expired/inadequate PPE then austerity round 2 for the public sector, some general tax rises and some targetting of IR35/self employed/disguised employment (the Chancellor mentioned last week) and offshore property ownership. Quantitative easing will persist and the austerity measures that helped the wealthy/financial services' elite make financial killing round 2 like many of my wealthy acquaintances did post 2008.
The UK government probably won't want too waste a good crisis so some changes to health care and teaching and other public services will persist to save money.
The housing market will probably have a cold shower for reasons stated elsewhere.
Regarding societal changes, probably little given human nature to ignore/forget/keep calm and carry on and path dependency.
Huge hoo hah for the restarting of Premier League football.
Those with health anxiety/OCD before will probably carry on being anxious distancing, disinfecting and so on. The rest, probably not so much. I expect a few will boycott what they may consider to be the unconscionable actions of whichever corporates they noticed but most will be back to Wetherspoons/Virgin/Ramseys/Wilkos/others as soon as the lockdown ends.
The high street and commercial property will probably struggle more.
What happens to the UK's post-Brexit trade negotiations will be interesting.
Some corporates will probably invest a little time around BCP and look again at lean/offshoring but as changes would involve cost and many corporates will be facing straightened times, they will probably tend to keep to the status quo while making the right noises in CSR statements, like they do for climate change.