Oh, there is bodyweight exercise that somewhat targets shoulders. The chicken press! Its like a normal push up but instead of flaring your arms out tuck them into your sides so that your elbows touch your rip cage.
Those work the frontal shoulders a bit but its a far cry from what a dumbbell can do.

Of course there is a hardcore bodyweight exercise for shoulders, I do them from time to time, its handstand shoulder presses. YOu do a handstand and then lower yourself till your head touches the floor and then you press yourself up again.

But if you can't do a handstand in the first place.....

@ E-Ro There are a lot of dumbbell and barbell exercises for the handstand: overhead press, incline dumbbell press, single arm dumbbell press, close grip bench press, rows....

Leigh leigh, here for your shoulders

Do some side lateral raises  Though I am unsure how much your medial deltoids are involved in a handstand, some extra muscle there wont hurt

and some dumbell military press 

Form is most important, so copy the models exactly and use weight you can control but that is not TOO light that you dont feel it. See? Nice simple movements

Take two dumbbells into your hands, stand straight with your core tight, feet shoulder width apart. Flex your abs, back and butt as hard as you can to keep your lower back straight, this is very important. Lift the dumbbells up and rest them on your shoulders. 
This is your starting position. Then press both dumbbells until your arms are straight and locked. You must keep your core tight all the times like I mentioned before, then gently lower your arms until the dumbbells rest on your shoulders. When pressing keep your head  in the ''window'' between your arms. If you cant do that you're leaning because you are using too much weight. 

Use enough weight that you can do 3 sets of 7 repetitions with good form and the last rep, the 8th should require you a little cheating to get it all the way up. Don't wait too long between the repetitions in one set, 3 seconds max. 

The dumbbell overhead press is by far the most effective way to train your shoulders, and as nice side effect it works your core, abs, butt, back, triceps. 

Alright. I'm feeling sufficiently motivated and well instructed.
Which is good, because I was going to take today and be a garbage person, but now y'all have inspired me to take my lazy ass to the gym.

Fuck yeah!

Thats what I like to hear. As for me, today is my off day. Only get one per week so im just gonna do a bit of cardio.

I'm not doing shit today. But yesterday I worked on my back.

LOL, you are such a girl tbh.

Since your a beginner frequency is king. I would hit each muscle 3 times a week with at least a days rest in between. If you dont have time you can do it twice a week or even once, but you will progress faster with a high frequency provided you recover properly.

Or drink more wine, Cersei.

I do it once per week, but my shoulders get an entire day which looks like this: Barbell standing overhead press 4 sets 8 reps 80kg, single arm dumbbell press 3 sets 5 reps 40kg, 2 sets of 1 rep 100-105kg overhead press, rows 3 sets 8 reps 70kg.
Only once per week because my shoulder also gets hit on chest day (Bench press, flyes) and bent forward rows, so technically its twice a week.  

But you as a beginner you can do shoulder presses twice a week, just make sure you give your shoulders 48 hours of regeneration before training them again. This includes push ups and other exercises that stress your shoulders. 
Might be of interest, here is a list about the strength standards of different level athletes in the overhead press exercise, including novices.  (Overhead press = shoulder press, but instead of dumbbells a barbell is used) www.exrx.net/Testing/WeightLifting/PressStandards.html


Also its not boring anymore once you lift some serious weighs, performing feats of strength few can do is very entertaining and feels great. It takes a lot of concentration and all you've got, forget listening to music. This combines everything you have, raw strength, technique, CNS, muscle coordination, balance, flexibility, everything has to be 100% to be able to perform the lift. I love lifting heavy and find it entertaining as hell, I love the challenge, I love the feeling of my body pushing the limits.*ramble*  This might be a male thing however.