Is there actually a free chrome extension that lets you share a grocery list with someone else because I cannot find anything that works?

I am so confused right now honestly lol. My husband and I are trying to save money for our first house here in Chicago and our grocery bill is just insane lately because we keep buying the same stuff twice or forgetting things we actually need. I tried looking in the chrome web store thingy but everything I see looks like its for work or coding or something way too complicated for me. I just want a simple list where I can type things like milk or bread on my computer while I am at work and then he can see it on his side.

Does that even exist? Sorry if this is a really basic question I just dont know how any of this tech stuff works half the time. Every time I think I found one it asks for a monthly subscription or its just a notepad that stays on my computer only. I really need it to be free since we are on such a tight budget right now and I really dont want to pay five dollars a month just to write down a list of vegetables. Do I need to install something special or is there a trick to this? I spent like an hour clicking around and I am just getting more annoyed...