MA does NOT recognize students as "residents" unless they graduated HS in MA! Therefore it's almost unheard of for a student to get a Resident LTC at all.
Boston proper will NOT issue a "carry" level of permit unless the person is very well connected politically or business owner and can prove very large sums of cash (or jewels) are carried on a regular basis (must provide deposit slips and bank statements). For Residents they will issue a LTC-A but it is restricted to target and hunting.
MGLs Ch. 269 S. 10(j) make it a misdemeanor to possess any firearm, ammo or OC on any school property (K-college). Only exceptions are LEOs and LTC-A (unrestricted or FID for OC only) holder who has received WRITTEN permission from school president (forget about it) or his designee. So you'd have to live off-campus to possess and couldn't carry at the school property even if you got proper permit.
A NR LTC can be issued by MA State Police (actually CHSB) for $100/year and an annual visit/interview with CHSB in Chelsea.
To get a MA license, you have to take a training course ($75-150 typical) from a MSP Certified Instructor and produce a MSP Training Certificate (1st time only). Every one of the 351 cities/towns makes up their own rules for any potentially additional BS that you have to provide. Some require that you join a gun club (Boston just dropped that requirement), pass a range test (Boston and Brookline in particular), provide doctor letters (attesting to your mental state), etc.
There is a ton of info on this in the MA Gun Laws sub-forum found at
Northeastshooters.com New England's Premier Shooting Forum.