Travel within Oxford is easy. You can walk, cycle, or bus around the city. It's not a huge place, and living a bit out of the centre, as many students will in their second or third years, is fine. You can see a bit of the non gown bits of the town. Getting a (basic, non flashy) bike is a good idea. You may be able to buy a second hand bike from a college porter (That used to be a thing. I don't know if it still is).
Summertown is a pleasant part of town, funky Jericho is not far from St Hugh's, and the college is also well located for access to some of the pretty country pubs just outside the city.
I was at Wadham, but walked or biked to St Hugh's for some tutorials in my third year. It took no time. I recall that my tutor at St Hugh's had a pleasant room, where we sat and talked about the eighteenth century. He was a Junior Research Fellow at the time. He has recently retired from a Professorship at Cambridge. I feel old!
Have fun at Stew's!