State pension and gifting property in the uk

You could gift it and then your child could permit you to live in it rent free. But then the property will still be considered to be in your estate for inheritance tax purposes when the time comes... that's because it wouldn't actually have been a gift but a "gift with reservation of benefit", so far as HMRC are concerned.

This article might be useful: https://www.thetimes.co.uk/money-mentor/article/gifting-property-tax-implications/

It's a complex area - consider taking professional advice; there may be other ways of achieving whatever you're trying to do. But be aware there are some pretty dubious schemes being touted out there: https://www.bbc.co.uk/news/business-39589083 for example.