Welcome LVB.
Take a good look at the tech section,
especially properly storing a bike.
Go forwards then backwards, they're fairly easy bikes to work on
with standard tools if you don't have to get crazy with it.
You Tube has videos on what to look for purchasing a 650.
that will show you more things to look over.
New / really good battery, fresh gas, full oil, clean gas tank, open the petcocks and drain the carbs, new or cleaned plugs,
kick her over easy or use the electric for a bit to get the oil flowing,
compression check.
If she goes run her easy till fully up to temp, if you ride oil the chain, fill the tires,
up to temp then home, drain the oil and look for any contaminates, check plugs.
Post you're results
Everyone here loves to see a bike brought back to life. Plenty of support here.
I'm sure I've missed things and others will chime in but waking up a bike is a
gentle thing and done correctly can save you a lot time cash and grief.
She's pretty. Best of luck!