Change just one page based on a template

I am new to wordpress. I have been given a site to customise.

I want to modify just one of the pages to include a php calendar which links to a mysql database, so I will want to run my own PHP code on one of the pages. The majority of the template is fine but it uses 1 third of the main window ( below the menu etc.. ) to show a scrolling window of pictures. I want to remove that but just for one page not the whole template ?

Sorry if it sounds a bit simplistic but once I’ve done this I can address the calendar issue

thanks