How do I get an entry level job in Data Science with a bachelors in EC Engineering and have one year of experience in the semiconductor industry?

There quite a number of jobs you can take that could lead to a data science job. It is also good to remember that there are many different aspects of data science that you may not have day one.

One of the most common jobs is an analyst position at a company that focuses on it like SAS, Cloudera, Teradata and others including those that focus on these.

Here is a Blog link which has lot of information on data scientist jobs : Data Science Jobs In India