You do know the difference between plug adapters and voltage converters, don’t you? Is your curling iron going to work with 220/240, or does it just work with 110/120?
As to outlet types, Italy uses Types C, F and L outlet plugs. Many - not all - hotels can offer you an adaptor for use during your stay. The Type L plugs may use thinner or thicker pins - not interchangeable.
For more info, see https://www.worldstandards.eu/electricity/plug-voltage-by-country/ and https://www.worldstandards.eu/electricity/plugs-and-sockets/l/
(Those related sites are clearer than what RS has in his Travel Tips, at least to me.)
At the end of our 30 day stay in 2024, we had to find a local store to buy an L to L adapter, since our hotel in Naples had nothing to lend.
Over the course of our 30 days in southern Italy, we ran into the need for all types. (We take a converter for our waterpick, as well as adapters.)
LATE NOTE an advantage to our converter is that it has two electrical outlets and three USB ports, so we can use and charge up multiple devices in hotels with limited outlets. Small enough and light enough for us … and we’re in our mid 70s and we take month long trips with carry-on luggage and NO checked baggage.