I am planning on traveling to my Wife's home country of Peru this Christmas. I would like to remotely continue to work using a laptop and logging into my company here in the states. My question is, do I need a special work visa of some sort and if so what kind of costs should I expect to pay? Does my employer incur any fees as well from my working within a different country? Any help is appreciated. Thank you.

No just the normal visitor's visa or visa waiver program is fine.

You are still working for your company as if you were in the USA, only remotely. You are not working for a company domestically in the foreign country.

http://travel.state.gov/travel/cis_pa_tw/cis/cis_998.html

A valid passport is required to enter and depart Peru. Tourists must also provide evidence of return or onward travel. U.S. citizens may enter Peru for short-term tourist- or business-related visits of up to 90 days; however, the actual period authorized is determined by the Peruvian immigration officer at the time of entry into Peru. After admission, travelers may also extend their visa for an additional three months. Persons who remain beyond their period of authorized stay without obtaining a visa extension or a residence visa will have to pay a fine to depart Peru. Visitors for other than tourist or short-term business visit purposes must obtain a Peruvian visa in advance. Business workers (under contract) should ascertain the tax and exit regulations that apply to the specific visa they are granted. Peru does not require any immunizations for entry, although it recommends vaccination against Yellow Fever