Full tuition: yes.
However in most cases you will still need to provide books, some fees, room, board, transportation, and I believe a proof of financial ability of some sort.
The bad news: internships for international undergrads are limited, and your ability to get a work visa after graduation with a BS in EE is not so good. It can be done, but it is pretty hard.
The good news: There are Indian undergrads in the US, and some of them do get internships. I don’t know about the cost and availability of graduate school for them. It also is hard to go home and see family over the summer, if you’re working between semesters.
Another method is to do the undergraduate work at an Indian university (such as an IIT or, for females, the MKSSS’s College of Engineering for Women in Pune) followed by 2 years of graduate work in the US.
The graduate school method is popular for people seeking to work in the US full time following college.
It is a difficult path, but it is possible.
(UAH also courts international students, but many of the research jobs and internships will require citizenship).