The thing is, it only costs €3.50 to go in.
The grounds around the building are lovely even if you never go in.
There is a shady little park just behind and the neighbourhood of Almoureiras / Rato is incredibly pleasant with lots of nice eateries.
Inside, you'll find beautiful arches, an interesting wall garden feature, a staircase which leads you to the roof and where you'll see one never-ending tunnel... honestly I couldn't get enough pictures of that spooky tunnel for Instagram!!!
You get up to the roof and you have 360-degree views over Lisbon. If you have a book or your mobile with music and something to drink, it's a great place to chill for a while. The inside of the building supposedly has the most amazing acoustics and you might find kids and teenagers screaming... just to hear the echoes. Many artists have made recordings here, just for the perfect acoustics. Not of kids screaming, I hope.
In terms of touristy things, it's a bit "off the beaten track". By that I mean, not a lot of people seem to know about it, but, I loved it. I would go back. A nice place for a spare hour.
Oh, be aware that they close for lunch from 12.30-1.30. I arrived at 12.33 and had to have lunch to coincide with the Museum schedule. Way too early for me!