It's to your advantage right now that the poor economy in the US right now has led to many people having lengthy gaps in their resume due to unemployment. Initial HR screeners will usually take this into account at most companies (there are exceptions). I had nearly a 6 month gap in my employment due to illness followed by a period of temporary disability and this gap never came up during interviews. Someone else I know had nearly a year off for similar reasons and it didn't come up for them either.
So, it may never come up although if all you have is a year experience it will probably be more likely to come up in an interview. If it does come up, just explain, honestly, why you took the time off.
I think it reflects well on you that you saved up to do this and didn't run up huge debts doing this or going to school (I'm assuming this is correct). Few people can afford take time off after college these days since they have enormous school loans to pay and other heavy debt and don't have the financial discipline to save money to achieve a goal.
Edit in response to your edit:
I don't think you need to mention it on your resume unless there's something related to the position you're apply for. For example, if you were applying at a travel company or if foreign language knowledge was a plus. Otherwise, it's like other personal info, you leave it off.