Intensity
= new reply since forum marked as read
It's serious.
Or maybe contemplating the universe while watching the waves?
And the direction she was looking, I'd guess she's caught sight/scent of one of her buddies - Pipi, Lessie or Neptune. 
Could be that! She has friends and when they're near, she'd know it!
Summer mornings when I used to live in SoCal when my friends and I would run the dogs on the beach in the mornings. Wasn't a lifelong thing but a fond enough memory to keep.
I love the scruffy ones...well actually I love them all but the scruffy ones are so darn cute! 
Her name is Gibby - variation on the Gaelic Gibdh. She is *mostly rough coated Jack Russell. Her parents weren't pedigree and I didn't see them.
My old dogs died 2018 & 2019 and with the pandemic getting underway, rescue dogs were hard to find. Everyone was trying to palm gigantic dogs on me or dogs with temperament problems. She was bred up on the NSW border - parents a short haired JRT and a rough coat. Because of lockdown, she was sent to a breeder locally because it was easier to sell pups.
So Gib and I have been partners for six years. She has a slight underbite and a misaligned bottom jaw but otherwise she's great. She's small - less than 6kg and has a bit of anxiety; I think she was bullied by the other pups. There may be a bit of Australian terrier or silky in her, maybe a little chihuahua .... don't know and don't really care.
Background is a rocky platform and bluff at a small town called Harmers Haven - established by miners during the forties and fifties when there were strikes and lockouts. The mining families built huts in the dunes and lived on fish, rabbits and birds. I've seen writing from the time praising their supply of free coal on the beach!
Shouldn't have got me started on Gibby - ya know what folks are like talking about their dogs