I am a Mod Podge junkie. Nooooooo! to stationery paper printed on an ink jet. Mod Podge will make your pretty creation into an inky mush mess.
I use stationery paper all the time to glue things in my journals. I like the weight of it in my journals. I use ATG tape. As a newbie I don’t think you have that in your at home supplies. If you do that is a good way to go.
You can use double sided tape. You want the kind with a liner-
https://www.amazon.com/s?k=double+si...f=nb_sb_noss_1
Dollar Tree does carry that kind of tape, but I haven’t seen it at my stores in a few months. I do know some stores in other cities have it in stock. This is another tip to find the tape but it won’t be archival is that this is the tape is used to put up your window film insulation kits. Sometimes you can find it at WalMart in the hardware department where they sell the Winter items. I can get rolls of it for $2 or $3.
Glue stick is also a good idea but you would need to apply quite a bit of it, Doing that you have a risk of accidentally creasing your paper. You will need a permanent glue stick like Scotch permanent. Washable glue sticks the poem will fall out of the book in a few months or a few years.