Since it's a 2 stroke, if 27mph is the top speed then it is for sure restricted somehow.
I don't know about the Like, but for the People on the newer scooters, the CDI isn't restricted, only the variator.
So probably the first thing you want to do is replace the variator boss with an unrestricted one.
While you are at it, for the hills, you'll want to put somewhat lighter roller weights. On my People, I went down from 8 gram to 6 gram weights and that helped a lot with the hills.
Those are both relatively cheap changes. I'd recommend you do those first and see how you like it. After that, if you want to still go faster, you'll want to get a performance exhaust. That gives the scooter quite a bit more kick, but costs quite a bit and you have to rejet the carb and may have to change rollers again, so it's quite a bit of work.