Welcome to the forum, Sara! Your first order of business is to post some pictures.
This is what we know so far:
You have had the car for less than a year.
The car sat for 7 years prior.
The car is to be a daily driver.
You would like to upgrade the performance.
It runs OK.
It Handles OK.
Ok, safety first. If the car has sat this long you really need to deal with a few items. First, I would replace all the rubber hoses for the brakes, clutch and fuel. Even if they look ok they can rot from the inside out.
Next, check the steel fuel lines that run under the car. They are covered with a rubber tube which is good at holding in moisture and causing them to rust (this is more of an issue here in the midwest but worth checking).
The fuel injection system is very reliable but must be attended to. Hopefully the old gas was drained and the tank cleaned before you started driving it. There are two fuel filters one is near the fuel tank in the rear and one in the engine bay on the passenger side inner fender. Remove the air filter box. These need to be replaced. There is also an oil filter on the SPICA which needs to be replaced with each oil change. It is located behind a triangular plate and is spring loaded.
I assume that the car is free of rocker rust. If not, you will want an Alfa expert to evaluate it. The strength of a spider is in it's rockers...
As far as upgrades:
If the engine is running well then you are well advised to leave it alone. An electronic ignition is a good choice as far as increasing reliability. An Alfa engine is pretty well tuned out of the box - upgrades tend to be expensive and don't exactly improve reliability. That said, when your motor gets to the point of needing a rebuild, hi-po pistons, cams, SPICA, etc are all about the same cost as stock so you may as well go for it. Porting and polishing the head is also a good idea but not cheap...
Although the stock suspension set up is quite sufficient for driving around town, folks like to upgrade with poly bushings. Review the suspension section for lots of opinions. Performance springs, shocks, torsion bars are nice options but you'll want to read what set ups people are happy with. I like a stiff suspension but I have to be practical and realize that the roads I travel most are not the best.
One upgrade you might consider is new tires/wheels. I recently went with Rota 15x7 wheel with Toyo 205/55's and have no trouble with rubbing. I like the look and I like having the extra tread. Again lots of opinions and lots of choices.
Lastly, the single biggest upgrade you can make is to your knowledgebase of Alfa's. Get Braden's books, Jim K.'s High performance book is excellent. Wes Ingram and Roadtrip are the kings of SPICA. Read as much as you can stomach on this forum. Remember: Knowledge is Power!