Does acrylic absorb or transmit high intensities from electromagnetic frequencies?

Depends what colour it is…..
That is what colour is.

The electromagnetic spectrum is broad.
Some waves are many times the size of buildings, others are tinier than atoms.

A small portion of it, the visible region, is what we thing of as light.
Different colours are represented by different frequencies, or wavelengths,

A piece of acrylic (or anything for that matter) will reflect, absorb, or transmit different frequencies, to different degrees, all the way along.

Acrylic is likely to transmit most of the spectrum (X-rays, microwaves, gamma waves &c), absorb some of the infra-red, and reflect/absorb different parts of the UV/Vis region, depending on its colour.

Using chemistry to cause it to reflect/absorb different wavelengths (frequencies) of the visible region is how the colour is created

The following applies to common formulations of clear acrylic:

Visible spectrum transmission is in the neighborhood of 92%. This extends slightly into the longer wavelengths of the UV bands, but then drops off precipitously at around the 390nm level (this varies greatly with formulation). So it’s essentially opaque to most UV.

On the infrared side, transmission is decent in the 700–2800nm range, but the thickness of the material matters a lot in this part of the spectrum. From 2800–25,000nm, almost all of the IR is absorbed.

Acrylic is almost transparent to x-rays and radio frequencies and most radar.

(More here)

You might be interested in piezoelectricity. They’ve been doing some cool stuff with it lately, like shoes that will charge your phone while you walk.