Right!
Airport > Train Station:
Pisa Mover,
website, there are signs everywhere in the airport, you can't miss it. 2.70€. It is an automated shuttle that leaves the airport every 7 minutes. It is called exactly like that on signs.
Train Station > Congress Palace
Red LAM,
website, it is called "LAM Rossa" or "Red LAM" on the signs, L/R on the bus itself. It goes in two direction because in its path it pass the train station twice. You want to board the one that goes to "Cisanello". You can find it on the right, outside the train station. If you cross the street it is the wrong one.
It has a timetable but don't trust it. It just goes around in circles all day, you can find one every ~10 minutes. There are numbered busses too, but the LAM (high mobility lanes) have just the colors, red or green, for the main routes.
Get off at "Sangallo" stop for the secondary location, "Matteotti" stop for the main location of the egc (200 m from each others). The stops are on demand, there are stop buttons on board that you need to press when your stop is called by the speakers.
I checked the ticket cost, it is 1.50€ from July 1st, sorry, I didn't know about that because I have a yearly pass.
It is probably best if you buy both tickets at the airport.
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If you are in a pinch, taxis are always an option, you will always find some either at the airport or ar the train station, and you can call them everywhere. (With 10-15€ you can go everywhere in the urban area).
This is the
radiotaxi service, you can call, send an SMS, a whatsapp or telegram message with your current address to be picked up. The english version of the website gives a 404 error (because there are no tourists in Pisa, of course), but the sections, phone numbers and examples are quite clear.
Even if you don't plan on using them, saving their number may be a good idea.