Run a white painted pergola from in front of the gate to the front door - not flat topped, but open maybe a fun angle detail (match the slope of the roof) like this neat front door [houzz=] but all the way down the side of the house - Put the side posts right by the fence and then carry it forward to the front roof line above with its stringers - you can set the next support posts about 10 - 12' in, between the window and front door. Beyond the front door go all the way past the big window so you don't crowd that view with posts and then carry the overhead detail you see below that you place on the front up high (the horizontal open elements) all the way down to 18" above the ground to create a focal "end". If you put this high enough and leave the trellis spacing open enough it will actually be a feature for the side of the house too.

if you do bahama shutters on the front with the same size wood elements / clean lined details to match the wood framing on the pergola it will tie it all together. . . run the "top" of the pergola higher than the eave on the left and match the fascia height on the right - then paint the house and front door a nice contrast.

With stucco, I do think natural colors are best (they could be stone) . . since you have an earth toned roof - what about a khaki that is a bit less orange and a bit more canvas tan? Like sw cargo pants - http://www.sherwin-williams.com/homeowners/color/find-and-explore-colors/paint-colors-by-family/SW7738-cargo-pants/
(It is in the green family so it is warm, but works well with white trim and brown roof) Then you can do a bright colored entry door that will draw attention in a good way. Paint the hose reel - or maybe get a hose pot instead and plant some flowering shrubs along the front of the home . . .

I'm guessing you need the gate, but if you can afford to reclaim the paved driveway beyond it as "yard" it would do a lot more for your place. If not, make it look like a nice patio - make it more double duty - get some tan concrete stain and stain the concrete past the fence. Add some planters with green climbing things / dig out at the pergola posts so the pavement gets relief, put some at the far fence as well, and consider bright home store plastic adirondacks to match the new front door color that can be quickly moved.