54 Lawton is considered the edge of Coolidge Corner. The location is desirable because of proximity to restaurants, shopping, Boston University, downtown and T access.
It is a very difficult question to answer without not knowing your specifics and your preferences. Depending on your profile and your needs this location might work for you or might not. Lot of students and professionals live around this street, throndike, comm ave, etc. It also changes building to building. So depending on your preferences and tolerance, it might work for you or not. I would ofcourse guide you differently depending on your answers.
I am sure this question is just the tip of the iceberg. Since you sound like you are new to Brookline - I would suggest when you are closer to buying a property, you should work with an agent who can guide you about the area and other process related questions.
Please don't buy a property based on online feedback. It helps but you shouldn't base such a "big" life decision on this alone. Good Luck with your search!
If you're considering the 1 unit that is on the market there, don't hesitate to ask your agent to feed you with specific neighborhood related information (statistics, happenings, etc.) My clients, especially, if they are not too familiar with the town usually like that as it helps them sort things out efficiently enough not to miss the opportunity they like.
If you are referring to this property, it loos great. Nicely updated 3 bedroom with a covered parking spot, it doesnt seem too over priced - probably some room to negotiate: