I'm 5'4 I weigh 130 looking for cruiser/standard starter motorcycle?

I want fwy accessible as well good for road trips up through the mountains. Possible durable for a Sturgis trip. But back to the basics. I'm tiny and I yes need to plant my feet on the ground to keep a bike up. I was looking at the Honda CBR300r but that is not good for long distances. I need a long distance and feh accessible motorcycle where I can sit up and not hunch or lay on a bike. Any thoughts advice on style type motorcycle for a beginner? No Vespa scooters or sports type.

You need to get out to some motorcycle dealers and sit on some to try them out.
Due to differing leg lengths and thigh girths along with design of motorcycle seats and fuel tanks just giving height is of little use

Honda Shadows, google " motorcycles for short riders" and check out the links. But some Shadows are low seated.
Also, a 350 is too small for a road bike as you know. A 600 cc is a small road bike. Maybe for you a 500 cc.
You don't want to buy a under powered road bike, you will not like it after new fun wears off. You will want some power.
Also, some bikes you can lower or install shorter front forks to lower it for short riders. So research that too.

If you sat on a 600 cc honda shadow, you would prob like it.

How about a kawasaki er500

The Honda CB300F has more upright seating and will be more comfortable on a long ride. There's nothing wrong with taking a bike that size on a long trip except you will need to strap stuff on it because it does not come with hard or soft cases. Most people who do trips prefer bikes with a windscreen, even a half-high one, which makes a huge difference in the wind blast, and saddelbags (hardcases are better) for storage. Even a Yamaha TW200 would work if it had good aftermarket cases.

I like my Vespa 150 -- it is good enough for Interstate touring, if you are insane.

However, my old bike would fit you perfect -- a Suzuki LS650, the "Big Single", known as the Savage 1986-2004 and renamed in 2005 as the S40. You know it's a good bike if they can produce the same bike for 29 years. Lightweight, easy to ride, capable of 85+ mph, I went L.A. To OKC and went 570 mile the first day, 510 miles the next.

If your looking for a bike that you can hold up with your thighs, ( and at your size that you described about yourself ), and you want to go long distance. You might want to rethink your ambitions! A bike as light as you want, may bring you anxiety, as you attempt to pass a tractor trailer, or one passes you. There's a turbulence created by that, which will draw you towards it or shove you away from it. There are cross winds that can shove you around as well. Highway speeds on a light bike for someone inexperienced, is a formula for disaster. By all means, go get the one you're comfortable with, and ride it around where you are familiar with the roads, learn how to counter steer, your braking abilities, acceleration on curves, watching for debris in the road, rocks, holes, using the mirrors, knowing how much air is in the tires. Find a chapter of ABATE in your area, and ask questions. There's some good people in those that are willing to help out.