Tips to speed up a Mac Mini?
The 2GB RAM is the biggest bottleneck here, no matter what you use the Mac Mini for. No recent Mac has been shipped with less than 4GB installed. Although memory management has gotten much better from Mountain Lion > Mavericks > Yosemite, you need to increase the RAM to at least 4GB.

Secondarily, you may be able retrofit a SSD to replace the slow internal HD.

I and my staff upgraded >200 Mac Minis of this vintage from 2GB to 4GB a number of years ago, in anticipation of upgrading from Snow Leopard to Lion &amp; then eventually Mountain Lion. It enabled us to push the use of these computers another 2 years or so.

We've purchased all our RAM from DMS for more than a decade. RAM and HD/SSD retrofits can be found at a number of places, most notably Other World Computing.

(Disclaimer: We are institutionally satisfied, (and I am personally satisfied,) with both of these company's products, and have no vested or financial interest in either company.)