Come on man! If you have sound Java (or programming) knowledge, I am sure you understand that not one is going to "point" you to external APIs or a project template where you just need to change a couple of Strings and voila! you have your project.
Nevertheless, here's a good answer from https://stackoverflow.com/a/772757/619699 for the charting part. I'd assume these charts do Gantt support too. You'd have to check their documentation.
UPDATE
Since this question was asked a few very nice open source native
libraries have been created. These include:
ChartDroid AndroidPlot AChartEngine ORIGINAL
It looks like the creator of this question solved this problem and
posted some interesting stuff about it to the Internet. I've linked to
his solution along with several others that exist now.
rapidandroid (question creator solution) GraphView Java Charts for
Android Just to summarize: his solution involved using a JavaScript
library (flot) built on top of jQuery. This library was then included
in an HTML page which was loaded into a custom WebView. The custom
WebView then read data from a custom Java class made accessible to
JavaScript code via the WebView.addJavascriptInterface method. Details
can be found at the above link.
The other solutions may present a more straightforward approach.