Hi and welcome.
I'm not sure exactly what you are looking to do, but I'll try to point you in the right direction.
Our on track stuff for the most part is limited to racing. We have done Performance driving on track sessions in the past, not sure how that program is at the moment.
We have a strong solo program, with events held all over the place. You use your own street car for that. If dirt is to your liking, try rally cross, basically a course held on the dirt with lots of slipping and sliding (wicked fun!).
Our roadrace program is strong too. You would want to prepare over the winter to be ready for the schools in the spring. You would need a physical exam, paperwork for SCCA for your logbook, proper gear and an SCCA legal car to run.
You can come to the track now and work as a volunteer flagger to get some first hand experience with how racing is handled here, plus get a more detailed look at how to get started. If you aren't busy this weekend, come to New Hampshire Motor Speedway. We have all 3 disciplines up there this weekend. GREAT way to see all of it in one place.
If you want seat time now, your best bet is to try the solo program. Many of our best race drivers come from this program. Entry is very reasonable, limited amount of prep, and no specialty built car required.
If you go to the home page of this site, click on the links for the different disciplines to see what is happening now. You can also contact Jerry Rigoli (miata88 on here) or me if you have more questions, or if anything isn't clear on the website. We'll be happy to help point you towards the event you are interested in and help you get going. NER SCCA is also on Facebook, with quite a few folks checking in over there as well, so feel free to ask questions and stop in.
So, if you haven't joined SCCA already, that would be the first step. This will get you two magazines with schedules, info, results, etc., and allows you to come into hot areas at the track if you are signed in as a worker or crew member. There are a ton of people who would be more than happy to help too. There's some really good folks here. Check out an event or two as a worker or spectator and see what you would like to do, then get your stuff together for the event (s) you end up choosing. There's a ton of stuff to do in SCCA all over the country, so it's something you can do no matter where your life takes you.