Will it still be on websites in 10 years? undoubtadly yes... willit be quite as common as to what it is now? unlikely.
The trend on the development community over the past few years has turned to the opinion of "people use jquery when they do not really need it", sites like 'youmightnotneedjquery.com' have emerged to educate the droves of users who are reliant on it.
Now, no one is saying jquery is bad - its an awesome tool, and it also helps to eductat many in a friendly way about some JS fundamentals that probably steers many careers.
But, larger libraries are now handling DOM manipulation themselves (sometimes even with jqueryLight, in angular for instance) react handles its own virtual dom - so i agree we will see less numbers of developers using jquery but many will find it hard to leave out of their toolkit some time yet.
-Steffen