Hi SashreekR73,
From your
other thread, I see that you're heading for the Cleveland area to further your studies. Since you specified CLE in the other thread and are now aiming for CAK (Canton-Akron Airport), I'm guessing you'll be at Kent State University. KSU is about half an hour's drive from CAK but only about 50 minutes from CLE. Because very few flights serve CAK, your proposed reservation has a six hour layover at ORD. You might want to fly to CLE instead. Do arrange ground transportation in advance, though.
Regarding check-in, you'll get instructions for that when you get your ticket.
You should be able to request vegetarian meals when you book the reservation. If you haven't already done so, you should open a MileagePlus account with United.com. This will allow you to earn frequent-flyer miles for this long trip. It also provides you a place to set up a profile that includes your meal preference.
Best of luck!
[EDIT] I forgot to mention that I second another poster's advice. In the US (and Canada and the UK), you have questions, not doubts. After reading a fair bit of Inglish in forums, I eventually learned to read "a doubt" as "a question", but it took me a while to figure that out.