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?
Ref; CED
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?