Yes, if wired per the instruction with the GFCI.
If I have four standard outlets in series in my kitchen along the counter top and wanted to convert them to GFI, can I replace the first outlet in the series with a GFI and will that cover all of the down stream outlets?
Almost all (but not every one) gfci outlets let you daisy chain additional outlets to protect them. If the gfci has connections for both load and line, anything connected to the load side is protected as well as the gfci itself (of course!).
Important note - I'm not a pro
Retired Defense Industry Engineer; Schluter 2.5-day Workshop Completed 2013, 2014
You really need to know what is all the way down the line. Hopefully your refrigerator is not on the line and kicks the breaker when you're not around.
I have a 1 year old fridge at the office (full size) that just started to trip the GFCI its plugged into. I think its just because the motor is drawing a little extra current as it ages. I plugged it into another outlet and its fine. Motors can often trip a GFCI.