As often is the case, the problem with the examples are context. Without context things are often not meaningful. Both cases mean travelled and are in the past.
As a kid I went to Boston five times to visit my Aunt.
I am worn out! I have been to Boston five times this week.
I went to
went = go, go = travel
I travelled to Boston five times.
I have been = travel
I travelled to Boston five times
**Been** verb UK /biːn/ /bɪn/ US /biːn/ /bɪn/
past participle of be; used to mean "visited" or "travelled",:
I've never been to Kenya, but I hope to visit it next year.
"Have you ever been there before?" - "Yes, I've been twice."
used as the past participle of "go" when the action referred to is finished:
She's been to the hairdresser's (= and now she has returned).
Do you need to go to the bathroom, or have you already been?
In relation to your comment on or the present perfect "have been to"
We use the present perfect continuous to talk about a finished activity in the recent past. Using the present perfect continuous focuses on the activity.
We don’t give a specific time. Even though the activity is finished, we can see the result in the present:
I’ve just been cleaning the car. (The car is wet and clean.)
It’s been snowing. (The ground is covered in snow.)
What have you been buying?