I see you're in Riverside CA, I know many parts of Riverside can be a very rough part of town.
Personally, as far as quality of life I would rather rent in, for instance Newport Beach or Huntington Beach CA then own a house in Riverside or further out.
Nothing wrong with those areas, but there are many nice apartment complexes down at the beach, and if you look down there you might find something that you like.
That being said, it's important to live near your work so you're not spending forever on the freeway, and she's not spending forever on the freeway, and the two of you never get to see each other except one day a week at the afternoon at 2:00 PM or something.
But if you grew up in Riverside and that's your hometown, then that's probably where you would like to be.
What I'm getting at is it's not just a buy / rent decision always, some people want to factor in quality of life and neighborhood that they live in- and what are the fun things to do that are nearby, things like that.
I just wanted to weigh in that it can also be a decision of where to live, you might have some choices that are not just purely financial--as newlyweds the two of you together can decide where you would like to live and what you can afford when you get there.
And I would assume that renting in Riverside is a little bit cheaper than renting on the beach- not talking directly on the sand but in one of the beach cities.
To qualify for a home loan typically you need to have a couple of years of employment history that is not temporary work or side hustles- a regular job.
As far as down payment, you could look into grants that they have for first time home buyers in your county and city.
You will still probably have to come out of pocket with some cash though.
Trying to get the best paying job that you can with an employer that is stable meaning unlikely to go out of business at the first little downturn might be a smart move.
A wonderful option might be living with either her parents or your parents, and saving 100% of your money.
Maybe they would do that as a gift to you to allow you to save up for a home, and you could in return cut the grass or paint their house for them or something like that.
As far as rent versus own, the prices in California of homes are astronomical in some areas and you might be priced out even with dual income no kids (DINK).
Meaning you may be a forever renter in California, not by choice but by circumstance, and if that happens You might want to look at renting in a larger apartment complex, with amenities like a hot tub, a weight room, a dog park, etc...
Just be aware that an apartment complex is its own neighborhood, so be aware of who your neighbors are- because some of them will house some rather rambunctious loud individuals, and some tough guys, so just be aware of that also.
Good Luck!