While using internet searches, such as Google, seem easier, it actually can make finding quality resources a lot harder.
Search engines are designed to produce as many results as possible, but often those results are irrelevant or from unreliable, irrelevant, or inaccessible sources. This means that you--the researcher-- will have to determine if each individual source is helpful and authoritative and then determine if and how you can access it. Search engines like Google are best when used primarily for defining terms and gaining basic knowledge of your topic before beginning to research.
Library Databases do a lot of the source evaluation for you. The only resources they contain have already been identified as reliable and authoritative, and the library pays for access, so you will always be able to get to what you need. You may not get as many results, but the quality of information you find will make your whole research project much easier.