It is very good news, yes. It's actually showing no excess deaths for week 23, which is week Jun 1-8 I think, although the number it quotes and shows on the graph is for week 22! Covers England, Wales and NI; Scotland numbers seem a couple of weeks delayed (they are quoting for week 21) but given how low their numbers have been this week I suspect it may be the same situation there.
Either way, no excess deaths at any age in June so far.
I'm trying to find it now, but I'm pretty sure I saw a graph the other day that showed that excess deaths in hospital are quite below what we would expect right now whilst deaths at home were above. Which if true, is concerning from the POV that it suggests people who should be in hospital (unrelated to COVID) are still not going.