Congratulations on your new horse
You can definitely ride your horse in an English saddle, but you'll be learning a slightly different style of riding because of the extra gaits your horse has (and lack of trot IIRC). You can search YouTube and find examples of paso fino's jumping, so they certainly can do it. However, since you're still a beginner it would be much better for you to learn the basics solidly
on the flat before you consider jumping, and when you're ready it would be much better to learn to jump on a horse that already knows how to. If you'll be buying another horse in a year or two, I wouldn't bother getting the paso jumping at all, since that's about the time that you'd be experienced enough to consider jumping her anyway.
Also, if you're keeping your horse alone right now you might consider getting some kind of companion for her. Horses are herd animals and don't tend to do very well kept alone. It doesn't have to be another horse (although if you know anyone with an older, retired horse they might be happy to free lease him to you) Ponies, goats, sheep, etc. will also work.