Do they really expect a systematic review?
Creating your protocol
Developing your protocol
What sources should you search?
Developing the search strategy
Running and recording your search strategies
Managing your search results
What to do next with your search results
Writing and reporting your review
Sources of help
Definitions of systematic reviews vary but high quality reviews usually aim to answer a research question by:
High quality systematic reviews of complex questions can involve large teams of researchers and can take months or even years to complete. It is accepted good practice to have at least two researchers working on any systematic review to minimize bias in the selection of studies -- Cochrane Collaboration reviews for instance cannot be produced by individuals as the selection of studies for eligibility and data extraction has to be performed by at least two people independently.
The resources you have and the time available to you will dictate what level of review you can reasonably hope to complete, so if you are working alone and have a short deadline you need to discuss with your supervisor exactly what they expect you to produce.
You can read further information about systematic reviews in the following links: