Welcome!!!
Mr. Lefors made great observations! That's a good place to start your revival.
You have a smart fortwo passion cabriolet (the company loves spelling everything in all lowercase). It's a second generation, chassis code 451.
Engine is a 999cc Mitsubishi 3B21 inline triple. It's naturally aspirated and uses a timing chain. The engine makes 70 HP and is connected to a five speed automated manual transmission, driving the rear wheels.
Curb weight comes in at around 1,840 lb.
Aside from the obvious stuff like tires and fluids, I'd confirm that the alternator is still producing about 14 volts at idle. In my experience, the alternators hate sitting inactive outdoors for so long.
That model year is known for peeling paint and currently has a recall for its engine insulation mat in the engine bay. The panels are easily removable, should you choose to repaint it.
The mat can fall onto the engine, catching fire. The "emergency" fix if you don't live near a dealership is to shore up the mat or just remove it entirely.
Your 2009 most likely has a 2008 build date. Model year 2009s built in 2009 don't have automatic wipers and automatic headlights, but I see the "hockey puck" on your windshield.
If it has trouble getting into gear, which can happen due to sitting for so long, follow this guide to clean and lubricate the clutch actuator:
www.evilution.co.uk
Evilution is a must have resource for the DIY smart owner and I recommend the ~$12/yr subscription.
One additional quirk that you will run into is the staggered wheel setup. The front wheels are narrow because the previous generation cars (450) had a knack for getting tippy when equipped with wide tires. You don't need to keep the staggered setup (that was one of my first changes) but make sure all four tires have the same diameter.
Good luck!!