Many Robotic Process Automation (RPA) vendors provide free tutorials and also allow you to download their tools so that you can follow along. Here are some top tools and their links to the tutorials and tools.
One of the most widely used (as suggested by others too) is UiPath. UiPath is easy to learn and get started. You can download the tool, learn from their academy and get rolling in no time. There is a decent community to support as well.
Here are the links to get started:
You can read more details including pros, cons, and pricing for UiPath here.
Automation Anywhere is another great RPA tool to learn. Please be aware that Automation Anywhere is a trial and expires in 30 days while UiPath has a free community edition that you can continue using.
Here are the links to get started with Automation Anywhere.
AA 30-day trial download (Fill out the form to get download link)
WorkFusion got popular offering completely free RPA. With the free RPA Express version, you can write scripts to automate tasks.
Kofax 12-month trial tool download