Could be some work, could be a quick tune and go.
The bike is probably a 1973 -- looking at the badge on the steering neck will tell you manufacture date, and I believe these bikes started in 1972 but were registered in the States as 1973.
If the kickstarter is moving easily with no resistance and you don't think the pistons are moving (but have you checked?), then it could be the teeth in the gear that engage it. Might be (reduced to) electric start only, but that would be odd for a bike with such few miles. (And the trip odometer doesn't match the bike odometer, but that could simply be someone turning the trip odometer over to 555 four miles ago...). If those are actual miles the thing isn't even broken in yet. Kicking these things over, there is not a lot of resistance compared to 550s or 750s or whatever bigger bike you might be used to. Clean off a spark plug hole, pull a plug, and have a look. Or open the points cover and see if it's spinning the crank.
IF it is stuck and the kicker is knackered, try pouring some marvel mystery oil (others will come along with their recommendations in a minute, Sea Foam, etc.) and letting it soak, then gently rocking it back and forth in a higher gear. Some have luck doing this and their bike fires up, the rings get unstuck, and they can ride it. Others break rings or wind up with too low compression. If your engine needs a rebuild, it'll be time and some money if you do it, or more money if someone else does. Up to you to determine if it's worth it -- nice 350Fs have a little value, but they're not crazy rare or super expensive.
Cosmetically, fine steel wool and water or chrome polish can clean up the chrome. Tank has a crazy paint job -- what's it look like inside?
If you get the engine unstuck, go through the 3000 mile tune up, valves, points, timing, carb sync, change the oil, new plugs.
Those are great bikes, be cool to see another on the road. If it's too big of a project, selling some parts might help someone else get on the road...
