make a path to back yard using maybe crushed gravel. Then place a unique used window or door where you want it to connect to a fence or don't build a fence at all & mount the window or door as stand-alone divider from front & back yard.

Wow! What a beautiful home :-) It's got lovely clean lines, but these can also look a bit stark, can't they? Have you considered Espalier or something similar against the walls between the garage doors, etc.? That would add some softness and colour (as well as fresh fruit!). For the front garden, you've really got a lot of choice for such a lovely aspect. If you were after a more 'finished' look, then perhaps consider a front (picket) fence with smaller natives and a bigger grevillea or similar as a feature. For privacy, perhaps a hedge of lillypilly. Or for a more formal look, landscape with sandstone to create tiered beds and plant out with smaller natives, lavender a herb garden or a mixture of all three. Enjoy!

What color is the inside of your door currently? White? We painted the inside of our front door a dark color (black) and I LOVE how it is a bold statement and makes the trim around it pop! Do it!!!!

I agree with havingfun, thicken the supports and have something growing trailing up them. I didn't even notice there was a pergola until the close up. Right now it blends in too well with the house color, consider painting it a different color. I don't know your usda zone but classic climbers for a pergola include clematis, wisteria, grape https://www.houzz.com/photos/santa-ynez-valley-mediterranean-porch-santa-barbara-phvw-vp~2485412 or go for a modern look You can also hang string lights, planters or something from the beams. Also agree lighten the front door.