This question depends a lot on the quality of the apartment and location of what area you would like to live.

Ex: I rent a 1bed in Roxbury (ok neighborhood) for $1900/month. Next year it will be $2000 a month and utilities average $100-$300 per month depending on the season. It is a TINY apartment and it is not renovated/luxury.

I have a friend with a 1bed in North End and that costs $2700. Nice safe building but it is older and not a newer luxury build. She has more space than me and the common areas/location are super nice.

New luxury buildings are usually at minimum $2500/month and that would be for a studio only.