The OP didn't say she doesn't have a smartphone, but that she doesn't want to be on it all day. I'm not sure how someone could be on a phone all day, but that's not really the point.
I tend to get up late by many people's standards, as I am a night owl. If I wake early(ish) I read the news, catch up on social media of various types and check emails from my bed, then get up and have breakfast.
Pre-lockdown, I had some sort of appointment most days - I teach and attend classes, I belong to groups, or I meet friends for coffee/lunch. These days, I do some of that via Zoom, and catch up with paperwork etc. I used to get exercise in the form of pilates classes, but they are cancelled now, and I am becoming very unfit.
Then I'll cook something for the main meal (again, pre-lockdown that might have been eaten out, but now it's just me and my husband), and maybe do a chore or two in the house, or do an online shop.
Throughout a lot of this I am listening to music, or if what I am doing doesn't require concentration I might listen to an audiobook instead.
Some days I catch up with what I have recorded on TV, or watch a film on Netflix or Prime. I also read (partly for work and also for pleasure), knit, write and do crosswords.
Nothing out of the ordinary or exciting, and nothing retirement-specific either. I think that most people carry on doing what they enjoyed while working. We just have a bit more time to do it, although that time is soon filled to the point where we have none left.