I am looking for some information for a trip to Japan.
1. What is the best option for using a cell phone for a 2 week trip?
2. Is anyone aware of free Wi-Fi in Tokyo anywhere?
Thanks.

1. If you have a smart phone that takes a Sim card then you should be able to buy a Sim card there for about $5. Then you would be able to decide that surrounds your calling and/ or Internet needs for a pretty economical fee.
2. Most hotels have WiFi. Starbucks as well.

Sorry... "decide on a plan".

There's free public wifi when I was there 2 years ago. There's a website where you can sign up for it ahead of time but I can't find it.

Reminder: if you decide that you do want to buy a Sim card when you leave home and decide not to talk to your cell phone carrier about your travel plans; Be sure to remove your Sim card before you leave the country. You could be hit with an exorbitant roaming just for simply turning your phone on when you connect with a carrier outside of your home country. IE: $250.

Thank you very much. This was enough information to point me in the right direction.

I was just there for 3 weeks, and I visit annually. There is still virtually no wifi anywhere. Relying on it is a bad idea.
You must usually register for each wifi spot individually, which paradoxically requires Internet access.
I got a wifi pocket router at the link below, and picked it up at the airport. It worked everywhere except remote islands and train tunnels.
http://www.globaladvancedcomm.com/
Japan is a tough place to travel with or without wifi. There's no street names, maps are often hand drawn, hotels are full, cash only, etc.
GLOBALADVANCEDCOMM.COM
Rent iPhone, Cell / Mobile Phone & Mobile Data Card in Japan:: global advanced communications

I jus used globaladvancedcomm as well jus last week and it was around $10 a day. Highly recommend.

7-11 has free wifi and they are everywhere! We were able to get around fairly easy just using free wifi in the airbnbs we stayed at and 7-11. We took screen shots of any maps, etc we needed just in case. The people in Japan are also super friendly and helpful. We found that if we asked for help if we were lost or unsure where to go, someone was always willing to help us out.

It may or may not be obvious, but if you're going the "buy a local SIM card" route make sure your phone is unlocked before you go. (This apparently fell into the "not obvious" category for me when travelling abroad for the first time.) Most smartphones can be unlocked through a kiosk or the carrier (mainly for iPhones) for $0-$50.

I was there last month and used econnect to rent a pocket wifi device, which worked like a charm! highly suggest. we did notice free public wifi some places, but we were grateful to have nonstop access. ended up being like ~$10/day for 4G. https://www.econnectjapan.com/
ECONNECTJAPAN.COM
econnect japan

ordered it to be sent to our airbnb and dropped it off in a post box at the airport upon our departure.

Thanks Sophie. Just booked 16 days in April with my family so we'll definitely need help. About $70 for the 16 days, pretty reasonable!

We used eConnect in Japan as well, though we went with just a SIM. Worked like a charm and would highly recommend them as well. Next trip we are going to rent the wifi egg now that we know their network is good.

It's great! Have an amazing trip