Jak tylko połączę laptop z Wi‑Fi, będę mogła skanować ten formularz u siebie.

Jak tylko means as soon as.

So:

• Jak tylko połączę laptop z Wi‑Fi... = As soon as I connect the laptop to Wi‑Fi...

It introduces something that will happen immediately after another action.

A few similar expressions are:

• gdy tylko = as soon as
• kiedy tylko = as soon as / whenever, depending on context

In this sentence, jak tylko is very natural and common.

Połączę is the perfective future form of połączyć = to connect.

In Polish, perfective verbs often express a single completed action, especially in the future. Here the speaker means:

• first: the laptop will be connected
• then: scanning will become possible

So połączę fits well because it means I will connect / once I have connected.

Compare:

• łączę = I connect / I am connecting (present, imperfective)
• będę łączyć = I will be connecting (future, imperfective, more like an ongoing process)
• połączę = I will connect successfully / I’ll get it connected

After jak tylko, Polish very often uses this kind of perfective future when English would say as soon as I connect.

The verb połączyć often takes the pattern:

• połączyć coś z czymś = to connect something with/to something

So:

• laptop = what is being connected
• z Wi‑Fi = with/to Wi‑Fi

Even though English usually says connect the laptop to Wi‑Fi, Polish commonly uses z here.

Case-wise:

• laptop is in the accusative, but for a masculine inanimate noun it looks the same as the nominative
• Wi‑Fi comes after z, which normally requires the instrumental, but Wi‑Fi is indeclinable, so its form does not change

Będę mogła skanować literally means I will be able to scan.

This is not just talking about the future action; it is talking about having the possibility/ability to do it.

Structure:

• będę = I will be
• mogła = able (feminine past-participle-like form used with future być)
• skanować = to scan

So the meaning is:

• Once I connect the laptop to Wi‑Fi, I’ll be able to scan this form at my place.

If the speaker wanted to say simply I will scan it, without emphasizing ability, they could use something else, for example:

• ...zeskanuję ten formularz... = I will scan this form

But będę mogła skanować focuses on being able to do it.

Because the speaker is female.

In Polish, forms like mógł / mogła agree with the gender of the speaker in the singular:

• będę mógł = I will be able (said by a man)
• będę mogła = I will be able (said by a woman)

So:

• male speaker: Jak tylko połączę laptop z Wi‑Fi, będę mógł skanować ten formularz u siebie.
• female speaker: Jak tylko połączę laptop z Wi‑Fi, będę mogła skanować ten formularz u siebie.

Yes, both are possible, but they mean slightly different things.

• skanować = imperfective, to scan
• zeskanować = perfective, to scan completely / to finish scanning

After móc (to be able to), Polish often uses the imperfective infinitive when speaking generally about the ability to do something:

• będę mogła skanować = I’ll be able to scan / I’ll have the possibility to scan

If you want to stress a single completed result, you could say:

• będę mogła zeskanować ten formularz = I’ll be able to scan this form completely / get this form scanned

So the version in your sentence sounds a bit more general or practical: once connected, scanning becomes possible.

U siebie means something like:

• at my place
• in my own place/home/office
• on my own side / in my own environment

It is based on siebie, the reflexive form, so it refers back to the subject.

In this sentence, since the speaker is I, u siebie means:

• at my place
• where I am / in my own place

This is different from:

• u mnie = at my place
• u siebie = at one’s own place

The nice thing about u siebie is that it automatically matches the subject:

• Jestem u siebie. = I am at my own place.
• Jesteś u siebie. = You are at your own place.
• Ona jest u siebie. = She is at her own place.

So here it sounds natural because the place belongs to the speaker’s own setting.

Because formularz is a masculine inanimate noun, and in the accusative singular it looks the same as in the nominative.

So:

• nominative: ten formularz = this form
• accusative: ten formularz = this form

Since skanować takes a direct object, formularz is in the accusative, but its form does not change.

This is normal for many masculine inanimate nouns in Polish.

Polish usually leaves out the subject pronoun when it is already clear from the verb form.

So:

• połączę already means I will connect
• będę mogła already means I will be able

Because of that, ja is unnecessary unless you want emphasis or contrast.

For example:

• Jak tylko połączę laptop z Wi‑Fi... = neutral, natural
• Jak tylko ja połączę laptop z Wi‑Fi... = more emphatic, like as soon as I connect it (and not someone else)

So the version without ja is the most natural here.

The basic meaning stays the same even if you move parts around, because Polish word order is fairly flexible.

The original version is very natural:

• Jak tylko połączę laptop z Wi‑Fi, będę mogła skanować ten formularz u siebie.

Possible alternatives include:

• Będę mogła skanować ten formularz u siebie, jak tylko połączę laptop z Wi‑Fi.
• Jak tylko połączę laptop z Wi‑Fi, ten formularz będę mogła skanować u siebie.
  This is possible, but less neutral.

The default order usually sounds best unless you want to emphasize something specific.

Also note the comma: the clause introduced by jak tylko is separated by a comma from the main clause.