This sucks being a noob again at something

, Im sure this is a very common question.
I'll be doing a fixed gear conversion to my 70's schwinn varsity I got for free. I'm not ******** when it comes to these things and mechanics, but still have much to learn.
Where I live it is all very flat, except for one incline which is maybe a quarter mile long and 10-20 degree angle. Im young and pretty in shape but just want to be sure to make it up this hill without killing myself, and without additional gears. Im going to try it on my friends bike today, hopefully he knows what gearing he has.
Any direction would be great.